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Finding the Fourth Proportional to 429,394.43, 644,192.81 and 129,877.49

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Solution

The fourth proportional to 429,394.43, 644,192.81 and 129,877.49 is: 194,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,394.43 : 644,192.81 = 129,877.49 : x
  2. Step 2: Convert to fraction form
    429,394.43/644,192.81 = 129,877.49/x
  3. Step 3: Cross multiply
    429,394.43x = 644,192.81 × 129,877.49
  4. Step 4: Simplify right side
    429,394.43x = 83,666,141,368.50
  5. Step 5: Solve for x
    x = 83,666,141,368.50/429,394.43
  6. Step 6: Final answer
    x = 194,846.83

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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.