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Finding the Fourth Proportional to 497,178.36, 686,125.89 and 282,338.46

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Solution

The fourth proportional to 497,178.36, 686,125.89 and 282,338.46 is: 389,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,178.36 : 686,125.89 = 282,338.46 : x
  2. Step 2: Convert to fraction form
    497,178.36/686,125.89 = 282,338.46/x
  3. Step 3: Cross multiply
    497,178.36x = 686,125.89 × 282,338.46
  4. Step 4: Simplify right side
    497,178.36x = 193,719,727,148.73
  5. Step 5: Solve for x
    x = 193,719,727,148.73/497,178.36
  6. Step 6: Final answer
    x = 389,638.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.