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Finding the Fourth Proportional to 647,084.16, 970,764.48 and 226,373.76

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Solution

The fourth proportional to 647,084.16, 970,764.48 and 226,373.76 is: 339,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,084.16 : 970,764.48 = 226,373.76 : x
  2. Step 2: Convert to fraction form
    647,084.16/970,764.48 = 226,373.76/x
  3. Step 3: Cross multiply
    647,084.16x = 970,764.48 × 226,373.76
  4. Step 4: Simplify right side
    647,084.16x = 219,755,605,412.05
  5. Step 5: Solve for x
    x = 219,755,605,412.05/647,084.16
  6. Step 6: Final answer
    x = 339,609.00

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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.