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Finding the Fourth Proportional to 416,973.56, 625,460.52 and 101,428.52

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Solution

The fourth proportional to 416,973.56, 625,460.52 and 101,428.52 is: 152,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,973.56 : 625,460.52 = 101,428.52 : x
  2. Step 2: Convert to fraction form
    416,973.56/625,460.52 = 101,428.52/x
  3. Step 3: Cross multiply
    416,973.56x = 625,460.52 × 101,428.52
  4. Step 4: Simplify right side
    416,973.56x = 63,439,534,862.03
  5. Step 5: Solve for x
    x = 63,439,534,862.03/416,973.56
  6. Step 6: Final answer
    x = 152,142.82

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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.