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Finding the Fourth Proportional to 442,434.59, 663,695.01 and 176,132.91

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Solution

The fourth proportional to 442,434.59, 663,695.01 and 176,132.91 is: 264,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,434.59 : 663,695.01 = 176,132.91 : x
  2. Step 2: Convert to fraction form
    442,434.59/663,695.01 = 176,132.91/x
  3. Step 3: Cross multiply
    442,434.59x = 663,695.01 × 176,132.91
  4. Step 4: Simplify right side
    442,434.59x = 116,898,533,463.78
  5. Step 5: Solve for x
    x = 116,898,533,463.78/442,434.59
  6. Step 6: Final answer
    x = 264,216.53

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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.