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Finding the Fourth Proportional to 386,177.72, 579,265.40 and 97,988.80

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Solution

The fourth proportional to 386,177.72, 579,265.40 and 97,988.80 is: 146,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,177.72 : 579,265.40 = 97,988.80 : x
  2. Step 2: Convert to fraction form
    386,177.72/579,265.40 = 97,988.80/x
  3. Step 3: Cross multiply
    386,177.72x = 579,265.40 × 97,988.80
  4. Step 4: Simplify right side
    386,177.72x = 56,761,521,427.52
  5. Step 5: Solve for x
    x = 56,761,521,427.52/386,177.72
  6. Step 6: Final answer
    x = 146,982.90

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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.