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Finding the Fourth Proportional to 417,005.66, 625,502.82 and 101,462.87

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Solution

The fourth proportional to 417,005.66, 625,502.82 and 101,462.87 is: 152,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,005.66 : 625,502.82 = 101,462.87 : x
  2. Step 2: Convert to fraction form
    417,005.66/625,502.82 = 101,462.87/x
  3. Step 3: Cross multiply
    417,005.66x = 625,502.82 × 101,462.87
  4. Step 4: Simplify right side
    417,005.66x = 63,465,311,310.29
  5. Step 5: Solve for x
    x = 63,465,311,310.29/417,005.66
  6. Step 6: Final answer
    x = 152,192.93

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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.