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Finding the Fourth Proportional to 581,978.40, 872,965.17 and 161,253.06

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Solution

The fourth proportional to 581,978.40, 872,965.17 and 161,253.06 is: 241,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,978.40 : 872,965.17 = 161,253.06 : x
  2. Step 2: Convert to fraction form
    581,978.40/872,965.17 = 161,253.06/x
  3. Step 3: Cross multiply
    581,978.40x = 872,965.17 × 161,253.06
  4. Step 4: Simplify right side
    581,978.40x = 140,768,304,935.92
  5. Step 5: Solve for x
    x = 140,768,304,935.92/581,978.40
  6. Step 6: Final answer
    x = 241,878.92

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Why These Related Problems?

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