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Finding the Fourth Proportional to 423,031.88, 634,654.74 and 195,217.76

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Solution

The fourth proportional to 423,031.88, 634,654.74 and 195,217.76 is: 292,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,031.88 : 634,654.74 = 195,217.76 : x
  2. Step 2: Convert to fraction form
    423,031.88/634,654.74 = 195,217.76/x
  3. Step 3: Cross multiply
    423,031.88x = 634,654.74 × 195,217.76
  4. Step 4: Simplify right side
    423,031.88x = 123,895,876,716.18
  5. Step 5: Solve for x
    x = 123,895,876,716.18/423,031.88
  6. Step 6: Final answer
    x = 292,875.98

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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.