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Finding the Fourth Proportional to 517,451.91, 714,082.55 and 291,097.41

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Solution

The fourth proportional to 517,451.91, 714,082.55 and 291,097.41 is: 401,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,451.91 : 714,082.55 = 291,097.41 : x
  2. Step 2: Convert to fraction form
    517,451.91/714,082.55 = 291,097.41/x
  3. Step 3: Cross multiply
    517,451.91x = 714,082.55 × 291,097.41
  4. Step 4: Simplify right side
    517,451.91x = 207,867,580,831.20
  5. Step 5: Solve for x
    x = 207,867,580,831.20/517,451.91
  6. Step 6: Final answer
    x = 401,713.81

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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.