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Finding the Fourth Proportional to 431,907.57, 595,711.13 and 317,150.19

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Solution

The fourth proportional to 431,907.57, 595,711.13 and 317,150.19 is: 437,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,907.57 : 595,711.13 = 317,150.19 : x
  2. Step 2: Convert to fraction form
    431,907.57/595,711.13 = 317,150.19/x
  3. Step 3: Cross multiply
    431,907.57x = 595,711.13 × 317,150.19
  4. Step 4: Simplify right side
    431,907.57x = 188,929,896,478.86
  5. Step 5: Solve for x
    x = 188,929,896,478.86/431,907.57
  6. Step 6: Final answer
    x = 437,431.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.