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Finding the Fourth Proportional to 465,383, 698,074.50 and 132,959

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Solution

The fourth proportional to 465,383, 698,074.50 and 132,959 is: 199,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,383 : 698,074.50 = 132,959 : x
  2. Step 2: Convert to fraction form
    465,383/698,074.50 = 132,959/x
  3. Step 3: Cross multiply
    465,383x = 698,074.50 × 132,959
  4. Step 4: Simplify right side
    465,383x = 92,815,287,445.50
  5. Step 5: Solve for x
    x = 92,815,287,445.50/465,383
  6. Step 6: Final answer
    x = 199,438.50

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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.