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Finding the Fourth Proportional to 416,901.38, 625,343.43 and 101,359.94

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Solution

The fourth proportional to 416,901.38, 625,343.43 and 101,359.94 is: 152,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,901.38 : 625,343.43 = 101,359.94 : x
  2. Step 2: Convert to fraction form
    416,901.38/625,343.43 = 101,359.94/x
  3. Step 3: Cross multiply
    416,901.38x = 625,343.43 × 101,359.94
  4. Step 4: Simplify right side
    416,901.38x = 63,384,772,544.19
  5. Step 5: Solve for x
    x = 63,384,772,544.19/416,901.38
  6. Step 6: Final answer
    x = 152,037.81

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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.