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Finding the Fourth Proportional to 517,451.16, 714,081.52 and 291,096.66

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Solution

The fourth proportional to 517,451.16, 714,081.52 and 291,096.66 is: 401,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,451.16 : 714,081.52 = 291,096.66 : x
  2. Step 2: Convert to fraction form
    517,451.16/714,081.52 = 291,096.66/x
  3. Step 3: Cross multiply
    517,451.16x = 714,081.52 × 291,096.66
  4. Step 4: Simplify right side
    517,451.16x = 207,866,745,439.72
  5. Step 5: Solve for x
    x = 207,866,745,439.72/517,451.16
  6. Step 6: Final answer
    x = 401,712.78

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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.