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Finding the Fourth Proportional to 417,003.66, 625,499.82 and 101,460.87

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Solution

The fourth proportional to 417,003.66, 625,499.82 and 101,460.87 is: 152,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,003.66 : 625,499.82 = 101,460.87 : x
  2. Step 2: Convert to fraction form
    417,003.66/625,499.82 = 101,460.87/x
  3. Step 3: Cross multiply
    417,003.66x = 625,499.82 × 101,460.87
  4. Step 4: Simplify right side
    417,003.66x = 63,463,755,922.04
  5. Step 5: Solve for x
    x = 63,463,755,922.04/417,003.66
  6. Step 6: Final answer
    x = 152,189.93

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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.