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Finding the Fourth Proportional to 416,971.64, 625,451.52 and 101,429.12

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Solution

The fourth proportional to 416,971.64, 625,451.52 and 101,429.12 is: 152,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,971.64 : 625,451.52 = 101,429.12 : x
  2. Step 2: Convert to fraction form
    416,971.64/625,451.52 = 101,429.12/x
  3. Step 3: Cross multiply
    416,971.64x = 625,451.52 × 101,429.12
  4. Step 4: Simplify right side
    416,971.64x = 63,438,997,276.26
  5. Step 5: Solve for x
    x = 63,438,997,276.26/416,971.64
  6. Step 6: Final answer
    x = 152,142.24

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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.