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Finding the Fourth Proportional to 517,451.67, 714,082.20 and 291,097.17

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Solution

The fourth proportional to 517,451.67, 714,082.20 and 291,097.17 is: 401,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,451.67 : 714,082.20 = 291,097.17 : x
  2. Step 2: Convert to fraction form
    517,451.67/714,082.20 = 291,097.17/x
  3. Step 3: Cross multiply
    517,451.67x = 714,082.20 × 291,097.17
  4. Step 4: Simplify right side
    517,451.67x = 207,867,307,567.37
  5. Step 5: Solve for x
    x = 207,867,307,567.37/517,451.67
  6. Step 6: Final answer
    x = 401,713.47

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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.