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Finding the Fourth Proportional to 517,439.60, 714,065.64 and 291,085.28

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Solution

The fourth proportional to 517,439.60, 714,065.64 and 291,085.28 is: 401,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,439.60 : 714,065.64 = 291,085.28 : x
  2. Step 2: Convert to fraction form
    517,439.60/714,065.64 = 291,085.28/x
  3. Step 3: Cross multiply
    517,439.60x = 714,065.64 × 291,085.28
  4. Step 4: Simplify right side
    517,439.60x = 207,853,996,757.78
  5. Step 5: Solve for x
    x = 207,853,996,757.78/517,439.60
  6. Step 6: Final answer
    x = 401,697.12

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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.