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Finding the Fourth Proportional to 472,440.85, 708,663.89 and 117,454.87

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Solution

The fourth proportional to 472,440.85, 708,663.89 and 117,454.87 is: 176,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,440.85 : 708,663.89 = 117,454.87 : x
  2. Step 2: Convert to fraction form
    472,440.85/708,663.89 = 117,454.87/x
  3. Step 3: Cross multiply
    472,440.85x = 708,663.89 × 117,454.87
  4. Step 4: Simplify right side
    472,440.85x = 83,236,025,073.64
  5. Step 5: Solve for x
    x = 83,236,025,073.64/472,440.85
  6. Step 6: Final answer
    x = 176,182.96

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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.