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Finding the Fourth Proportional to 402,715.26, 604,058.94 and 103,198.32

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Solution

The fourth proportional to 402,715.26, 604,058.94 and 103,198.32 is: 154,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,715.26 : 604,058.94 = 103,198.32 : x
  2. Step 2: Convert to fraction form
    402,715.26/604,058.94 = 103,198.32/x
  3. Step 3: Cross multiply
    402,715.26x = 604,058.94 × 103,198.32
  4. Step 4: Simplify right side
    402,715.26x = 62,337,867,788.98
  5. Step 5: Solve for x
    x = 62,337,867,788.98/402,715.26
  6. Step 6: Final answer
    x = 154,793.91

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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.