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Finding the Fourth Proportional to 429,146.78, 643,780.32 and 129,593.40

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Solution

The fourth proportional to 429,146.78, 643,780.32 and 129,593.40 is: 194,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,146.78 : 643,780.32 = 129,593.40 : x
  2. Step 2: Convert to fraction form
    429,146.78/643,780.32 = 129,593.40/x
  3. Step 3: Cross multiply
    429,146.78x = 643,780.32 × 129,593.40
  4. Step 4: Simplify right side
    429,146.78x = 83,429,680,521.89
  5. Step 5: Solve for x
    x = 83,429,680,521.89/429,146.78
  6. Step 6: Final answer
    x = 194,408.26

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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.