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Finding the Fourth Proportional to 502,197.88, 692,925.25 and 298,317.54

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Solution

The fourth proportional to 502,197.88, 692,925.25 and 298,317.54 is: 411,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,197.88 : 692,925.25 = 298,317.54 : x
  2. Step 2: Convert to fraction form
    502,197.88/692,925.25 = 298,317.54/x
  3. Step 3: Cross multiply
    502,197.88x = 692,925.25 × 298,317.54
  4. Step 4: Simplify right side
    502,197.88x = 206,711,753,198.97
  5. Step 5: Solve for x
    x = 206,711,753,198.97/502,197.88
  6. Step 6: Final answer
    x = 411,614.15

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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.