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Finding the Fourth Proportional to 461,355.68, 692,306.80 and 195,101.60

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Solution

The fourth proportional to 461,355.68, 692,306.80 and 195,101.60 is: 292,767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,355.68 : 692,306.80 = 195,101.60 : x
  2. Step 2: Convert to fraction form
    461,355.68/692,306.80 = 195,101.60/x
  3. Step 3: Cross multiply
    461,355.68x = 692,306.80 × 195,101.60
  4. Step 4: Simplify right side
    461,355.68x = 135,070,164,370.88
  5. Step 5: Solve for x
    x = 135,070,164,370.88/461,355.68
  6. Step 6: Final answer
    x = 292,767.97

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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.