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Finding the Fourth Proportional to 497,712.60, 746,568.90 and 231,384.60

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Solution

The fourth proportional to 497,712.60, 746,568.90 and 231,384.60 is: 347,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,712.60 : 746,568.90 = 231,384.60 : x
  2. Step 2: Convert to fraction form
    497,712.60/746,568.90 = 231,384.60/x
  3. Step 3: Cross multiply
    497,712.60x = 746,568.90 × 231,384.60
  4. Step 4: Simplify right side
    497,712.60x = 172,744,546,298.94
  5. Step 5: Solve for x
    x = 172,744,546,298.94/497,712.60
  6. Step 6: Final answer
    x = 347,076.90

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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.