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Finding the Fourth Proportional to 413,064.18, 619,603.11 and 113,542.92

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Solution

The fourth proportional to 413,064.18, 619,603.11 and 113,542.92 is: 170,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,064.18 : 619,603.11 = 113,542.92 : x
  2. Step 2: Convert to fraction form
    413,064.18/619,603.11 = 113,542.92/x
  3. Step 3: Cross multiply
    413,064.18x = 619,603.11 × 113,542.92
  4. Step 4: Simplify right side
    413,064.18x = 70,351,546,350.48
  5. Step 5: Solve for x
    x = 70,351,546,350.48/413,064.18
  6. Step 6: Final answer
    x = 170,316.26

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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.