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Finding the Fourth Proportional to 506,909.84, 699,691.38 and 292,193.42

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Solution

The fourth proportional to 506,909.84, 699,691.38 and 292,193.42 is: 403,316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,909.84 : 699,691.38 = 292,193.42 : x
  2. Step 2: Convert to fraction form
    506,909.84/699,691.38 = 292,193.42/x
  3. Step 3: Cross multiply
    506,909.84x = 699,691.38 × 292,193.42
  4. Step 4: Simplify right side
    506,909.84x = 204,445,217,266.72
  5. Step 5: Solve for x
    x = 204,445,217,266.72/506,909.84
  6. Step 6: Final answer
    x = 403,316.73

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1.5x scale

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.