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Finding the Fourth Proportional to 509,085.60, 763,628.40 and 497,421.60

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Solution

The fourth proportional to 509,085.60, 763,628.40 and 497,421.60 is: 746,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,085.60 : 763,628.40 = 497,421.60 : x
  2. Step 2: Convert to fraction form
    509,085.60/763,628.40 = 497,421.60/x
  3. Step 3: Cross multiply
    509,085.60x = 763,628.40 × 497,421.60
  4. Step 4: Simplify right side
    509,085.60x = 379,845,260,533.44
  5. Step 5: Solve for x
    x = 379,845,260,533.44/509,085.60
  6. Step 6: Final answer
    x = 746,132.40

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.