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Finding the Fourth Proportional to 506,148.38, 698,451.48 and 291,253.76

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Solution

The fourth proportional to 506,148.38, 698,451.48 and 291,253.76 is: 401,911.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,148.38 : 698,451.48 = 291,253.76 : x
  2. Step 2: Convert to fraction form
    506,148.38/698,451.48 = 291,253.76/x
  3. Step 3: Cross multiply
    506,148.38x = 698,451.48 × 291,253.76
  4. Step 4: Simplify right side
    506,148.38x = 203,426,619,727.57
  5. Step 5: Solve for x
    x = 203,426,619,727.57/506,148.38
  6. Step 6: Final answer
    x = 401,911.04

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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.