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Finding the Fourth Proportional to 432,275.52, 648,411.36 and 116,764.80

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Solution

The fourth proportional to 432,275.52, 648,411.36 and 116,764.80 is: 175,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,275.52 : 648,411.36 = 116,764.80 : x
  2. Step 2: Convert to fraction form
    432,275.52/648,411.36 = 116,764.80/x
  3. Step 3: Cross multiply
    432,275.52x = 648,411.36 × 116,764.80
  4. Step 4: Simplify right side
    432,275.52x = 75,711,622,768.13
  5. Step 5: Solve for x
    x = 75,711,622,768.13/432,275.52
  6. Step 6: Final answer
    x = 175,146.68

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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.