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Finding the Fourth Proportional to 502,854.76, 753,783.90 and 236,137.84

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Solution

The fourth proportional to 502,854.76, 753,783.90 and 236,137.84 is: 353,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,854.76 : 753,783.90 = 236,137.84 : x
  2. Step 2: Convert to fraction form
    502,854.76/753,783.90 = 236,137.84/x
  3. Step 3: Cross multiply
    502,854.76x = 753,783.90 × 236,137.84
  4. Step 4: Simplify right side
    502,854.76x = 177,996,901,972.78
  5. Step 5: Solve for x
    x = 177,996,901,972.78/502,854.76
  6. Step 6: Final answer
    x = 353,972.79

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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.