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Finding the Fourth Proportional to 442,117.40, 663,224.70 and 161,695.40

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Solution

The fourth proportional to 442,117.40, 663,224.70 and 161,695.40 is: 242,560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,117.40 : 663,224.70 = 161,695.40 : x
  2. Step 2: Convert to fraction form
    442,117.40/663,224.70 = 161,695.40/x
  3. Step 3: Cross multiply
    442,117.40x = 663,224.70 × 161,695.40
  4. Step 4: Simplify right side
    442,117.40x = 107,240,383,156.38
  5. Step 5: Solve for x
    x = 107,240,383,156.38/442,117.40
  6. Step 6: Final answer
    x = 242,560.87

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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.