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Finding the Fourth Proportional to 474,319.17, 654,576.20 and 259,459.48

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Solution

The fourth proportional to 474,319.17, 654,576.20 and 259,459.48 is: 358,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,319.17 : 654,576.20 = 259,459.48 : x
  2. Step 2: Convert to fraction form
    474,319.17/654,576.20 = 259,459.48/x
  3. Step 3: Cross multiply
    474,319.17x = 654,576.20 × 259,459.48
  4. Step 4: Simplify right side
    474,319.17x = 169,836,000,472.38
  5. Step 5: Solve for x
    x = 169,836,000,472.38/474,319.17
  6. Step 6: Final answer
    x = 358,062.70

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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.