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Finding the Fourth Proportional to 442,904.10, 664,356.15 and 431,240.10

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Solution

The fourth proportional to 442,904.10, 664,356.15 and 431,240.10 is: 646,860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,904.10 : 664,356.15 = 431,240.10 : x
  2. Step 2: Convert to fraction form
    442,904.10/664,356.15 = 431,240.10/x
  3. Step 3: Cross multiply
    442,904.10x = 664,356.15 × 431,240.10
  4. Step 4: Simplify right side
    442,904.10x = 286,497,012,561.62
  5. Step 5: Solve for x
    x = 286,497,012,561.62/442,904.10
  6. Step 6: Final answer
    x = 646,860.15

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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.