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Finding the Fourth Proportional to 497,688.60, 746,532.90 and 308,299.80

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Solution

The fourth proportional to 497,688.60, 746,532.90 and 308,299.80 is: 462,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,688.60 : 746,532.90 = 308,299.80 : x
  2. Step 2: Convert to fraction form
    497,688.60/746,532.90 = 308,299.80/x
  3. Step 3: Cross multiply
    497,688.60x = 746,532.90 × 308,299.80
  4. Step 4: Simplify right side
    497,688.60x = 230,155,943,763.42
  5. Step 5: Solve for x
    x = 230,155,943,763.42/497,688.60
  6. Step 6: Final answer
    x = 462,449.70

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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.