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Finding the Fourth Proportional to 521,108.30, 781,698.90 and 205,524.20

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Solution

The fourth proportional to 521,108.30, 781,698.90 and 205,524.20 is: 308,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,108.30 : 781,698.90 = 205,524.20 : x
  2. Step 2: Convert to fraction form
    521,108.30/781,698.90 = 205,524.20/x
  3. Step 3: Cross multiply
    521,108.30x = 781,698.90 × 205,524.20
  4. Step 4: Simplify right side
    521,108.30x = 160,658,041,063.38
  5. Step 5: Solve for x
    x = 160,658,041,063.38/521,108.30
  6. Step 6: Final answer
    x = 308,300.68

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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.