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Finding the Fourth Proportional to 506,147.38, 698,450.10 and 291,252.76

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Solution

The fourth proportional to 506,147.38, 698,450.10 and 291,252.76 is: 401,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,147.38 : 698,450.10 = 291,252.76 : x
  2. Step 2: Convert to fraction form
    506,147.38/698,450.10 = 291,252.76/x
  3. Step 3: Cross multiply
    506,147.38x = 698,450.10 × 291,252.76
  4. Step 4: Simplify right side
    506,147.38x = 203,425,519,347.28
  5. Step 5: Solve for x
    x = 203,425,519,347.28/506,147.38
  6. Step 6: Final answer
    x = 401,909.66

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Double scale
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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.