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Finding the Fourth Proportional to 497,728.60, 746,592.90 and 287,776.60

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Solution

The fourth proportional to 497,728.60, 746,592.90 and 287,776.60 is: 431,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,728.60 : 746,592.90 = 287,776.60 : x
  2. Step 2: Convert to fraction form
    497,728.60/746,592.90 = 287,776.60/x
  3. Step 3: Cross multiply
    497,728.60x = 746,592.90 × 287,776.60
  4. Step 4: Simplify right side
    497,728.60x = 214,851,966,346.14
  5. Step 5: Solve for x
    x = 214,851,966,346.14/497,728.60
  6. Step 6: Final answer
    x = 431,664.90

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