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Finding the Fourth Proportional to 465,557.32, 642,419.20 and 312,564.52

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Solution

The fourth proportional to 465,557.32, 642,419.20 and 312,564.52 is: 431,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,557.32 : 642,419.20 = 312,564.52 : x
  2. Step 2: Convert to fraction form
    465,557.32/642,419.20 = 312,564.52/x
  3. Step 3: Cross multiply
    465,557.32x = 642,419.20 × 312,564.52
  4. Step 4: Simplify right side
    465,557.32x = 200,797,448,886.78
  5. Step 5: Solve for x
    x = 200,797,448,886.78/465,557.32
  6. Step 6: Final answer
    x = 431,305.53

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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.