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Finding the Fourth Proportional to 497,862.36, 746,793.66 and 123,885.36

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Solution

The fourth proportional to 497,862.36, 746,793.66 and 123,885.36 is: 185,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,862.36 : 746,793.66 = 123,885.36 : x
  2. Step 2: Convert to fraction form
    497,862.36/746,793.66 = 123,885.36/x
  3. Step 3: Cross multiply
    497,862.36x = 746,793.66 × 123,885.36
  4. Step 4: Simplify right side
    497,862.36x = 92,516,801,414.82
  5. Step 5: Solve for x
    x = 92,516,801,414.82/497,862.36
  6. Step 6: Final answer
    x = 185,828.07

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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.