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Finding the Fourth Proportional to 641,712, 963,514.14 and 357,956.88

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Solution

The fourth proportional to 641,712, 963,514.14 and 357,956.88 is: 537,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,712 : 963,514.14 = 357,956.88 : x
  2. Step 2: Convert to fraction form
    641,712/963,514.14 = 357,956.88/x
  3. Step 3: Cross multiply
    641,712x = 963,514.14 × 357,956.88
  4. Step 4: Simplify right side
    641,712x = 344,896,515,390.28
  5. Step 5: Solve for x
    x = 344,896,515,390.28/641,712
  6. Step 6: Final answer
    x = 537,463.09

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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.