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Finding the Fourth Proportional to 509,637.60, 764,456.40 and 485,143.20

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Solution

The fourth proportional to 509,637.60, 764,456.40 and 485,143.20 is: 727,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,637.60 : 764,456.40 = 485,143.20 : x
  2. Step 2: Convert to fraction form
    509,637.60/764,456.40 = 485,143.20/x
  3. Step 3: Cross multiply
    509,637.60x = 764,456.40 × 485,143.20
  4. Step 4: Simplify right side
    509,637.60x = 370,870,824,156.48
  5. Step 5: Solve for x
    x = 370,870,824,156.48/509,637.60
  6. Step 6: Final answer
    x = 727,714.80

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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.