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Finding the Fourth Proportional to 416,971.56, 625,457.52 and 101,426.52

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Solution

The fourth proportional to 416,971.56, 625,457.52 and 101,426.52 is: 152,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,971.56 : 625,457.52 = 101,426.52 : x
  2. Step 2: Convert to fraction form
    416,971.56/625,457.52 = 101,426.52/x
  3. Step 3: Cross multiply
    416,971.56x = 625,457.52 × 101,426.52
  4. Step 4: Simplify right side
    416,971.56x = 63,437,979,661.43
  5. Step 5: Solve for x
    x = 63,437,979,661.43/416,971.56
  6. Step 6: Final answer
    x = 152,139.82

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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.