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Finding the Fourth Proportional to 466,145.82, 698,732.46 and 316,397.88

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Solution

The fourth proportional to 466,145.82, 698,732.46 and 316,397.88 is: 474,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,145.82 : 698,732.46 = 316,397.88 : x
  2. Step 2: Convert to fraction form
    466,145.82/698,732.46 = 316,397.88/x
  3. Step 3: Cross multiply
    466,145.82x = 698,732.46 × 316,397.88
  4. Step 4: Simplify right side
    466,145.82x = 221,077,469,031.19
  5. Step 5: Solve for x
    x = 221,077,469,031.19/466,145.82
  6. Step 6: Final answer
    x = 474,266.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.