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Finding the Fourth Proportional to 442,502.77, 663,710.41 and 176,191.78

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Solution

The fourth proportional to 442,502.77, 663,710.41 and 176,191.78 is: 264,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,502.77 : 663,710.41 = 176,191.78 : x
  2. Step 2: Convert to fraction form
    442,502.77/663,710.41 = 176,191.78/x
  3. Step 3: Cross multiply
    442,502.77x = 663,710.41 × 176,191.78
  4. Step 4: Simplify right side
    442,502.77x = 116,940,318,542.43
  5. Step 5: Solve for x
    x = 116,940,318,542.43/442,502.77
  6. Step 6: Final answer
    x = 264,270.25

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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.