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Finding the Fourth Proportional to 731,514, 1,096,274.70 and 411,818.34

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Solution

The fourth proportional to 731,514, 1,096,274.70 and 411,818.34 is: 617,166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,514 : 1,096,274.70 = 411,818.34 : x
  2. Step 2: Convert to fraction form
    731,514/1,096,274.70 = 411,818.34/x
  3. Step 3: Cross multiply
    731,514x = 1,096,274.70 × 411,818.34
  4. Step 4: Simplify right side
    731,514x = 451,466,027,138.00
  5. Step 5: Solve for x
    x = 451,466,027,138.00/731,514
  6. Step 6: Final answer
    x = 617,166.63

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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.