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Finding the Fourth Proportional to 650,306.88, 975,771.36 and 229,780.80

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Solution

The fourth proportional to 650,306.88, 975,771.36 and 229,780.80 is: 344,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,306.88 : 975,771.36 = 229,780.80 : x
  2. Step 2: Convert to fraction form
    650,306.88/975,771.36 = 229,780.80/x
  3. Step 3: Cross multiply
    650,306.88x = 975,771.36 × 229,780.80
  4. Step 4: Simplify right side
    650,306.88x = 224,213,523,717.89
  5. Step 5: Solve for x
    x = 224,213,523,717.89/650,306.88
  6. Step 6: Final answer
    x = 344,781.10

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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.