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Finding the Fourth Proportional to 415,924.58, 573,932.76 and 307,086.78

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Solution

The fourth proportional to 415,924.58, 573,932.76 and 307,086.78 is: 423,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,924.58 : 573,932.76 = 307,086.78 : x
  2. Step 2: Convert to fraction form
    415,924.58/573,932.76 = 307,086.78/x
  3. Step 3: Cross multiply
    415,924.58x = 573,932.76 × 307,086.78
  4. Step 4: Simplify right side
    415,924.58x = 176,247,163,204.91
  5. Step 5: Solve for x
    x = 176,247,163,204.91/415,924.58
  6. Step 6: Final answer
    x = 423,747.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.