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Finding the Fourth Proportional to 416,663.53, 625,032.21 and 117,146.71

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Solution

The fourth proportional to 416,663.53, 625,032.21 and 117,146.71 is: 175,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,663.53 : 625,032.21 = 117,146.71 : x
  2. Step 2: Convert to fraction form
    416,663.53/625,032.21 = 117,146.71/x
  3. Step 3: Cross multiply
    416,663.53x = 625,032.21 × 117,146.71
  4. Step 4: Simplify right side
    416,663.53x = 73,220,467,387.52
  5. Step 5: Solve for x
    x = 73,220,467,387.52/416,663.53
  6. Step 6: Final answer
    x = 175,730.45

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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.