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Finding the Fourth Proportional to 506,189.28, 698,519.52 and 291,182.88

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Solution

The fourth proportional to 506,189.28, 698,519.52 and 291,182.88 is: 401,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,189.28 : 698,519.52 = 291,182.88 : x
  2. Step 2: Convert to fraction form
    506,189.28/698,519.52 = 291,182.88/x
  3. Step 3: Cross multiply
    506,189.28x = 698,519.52 × 291,182.88
  4. Step 4: Simplify right side
    506,189.28x = 203,396,925,569.82
  5. Step 5: Solve for x
    x = 203,396,925,569.82/506,189.28
  6. Step 6: Final answer
    x = 401,819.90

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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.