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Finding the Fourth Proportional to 542,443.35, 813,073.91 and 463,317.51

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Solution

The fourth proportional to 542,443.35, 813,073.91 and 463,317.51 is: 694,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,443.35 : 813,073.91 = 463,317.51 : x
  2. Step 2: Convert to fraction form
    542,443.35/813,073.91 = 463,317.51/x
  3. Step 3: Cross multiply
    542,443.35x = 813,073.91 × 463,317.51
  4. Step 4: Simplify right side
    542,443.35x = 376,711,377,110.58
  5. Step 5: Solve for x
    x = 376,711,377,110.58/542,443.35
  6. Step 6: Final answer
    x = 694,471.37

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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.