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Finding the Fourth Proportional to 466,047.27, 698,586.12 and 316,299.74

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Solution

The fourth proportional to 466,047.27, 698,586.12 and 316,299.74 is: 474,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,047.27 : 698,586.12 = 316,299.74 : x
  2. Step 2: Convert to fraction form
    466,047.27/698,586.12 = 316,299.74/x
  3. Step 3: Cross multiply
    466,047.27x = 698,586.12 × 316,299.74
  4. Step 4: Simplify right side
    466,047.27x = 220,962,604,630.68
  5. Step 5: Solve for x
    x = 220,962,604,630.68/466,047.27
  6. Step 6: Final answer
    x = 474,120.59

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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.