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Finding the Fourth Proportional to 442,177.16, 610,204.50 and 240,973

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Solution

The fourth proportional to 442,177.16, 610,204.50 and 240,973 is: 332,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,177.16 : 610,204.50 = 240,973 : x
  2. Step 2: Convert to fraction form
    442,177.16/610,204.50 = 240,973/x
  3. Step 3: Cross multiply
    442,177.16x = 610,204.50 × 240,973
  4. Step 4: Simplify right side
    442,177.16x = 147,042,808,978.50
  5. Step 5: Solve for x
    x = 147,042,808,978.50/442,177.16
  6. Step 6: Final answer
    x = 332,542.75

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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.