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Finding the Fourth Proportional to 561,882.50, 842,824.56 and 229,458.50

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Solution

The fourth proportional to 561,882.50, 842,824.56 and 229,458.50 is: 344,188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,882.50 : 842,824.56 = 229,458.50 : x
  2. Step 2: Convert to fraction form
    561,882.50/842,824.56 = 229,458.50/x
  3. Step 3: Cross multiply
    561,882.50x = 842,824.56 × 229,458.50
  4. Step 4: Simplify right side
    561,882.50x = 193,393,259,300.76
  5. Step 5: Solve for x
    x = 193,393,259,300.76/561,882.50
  6. Step 6: Final answer
    x = 344,188.08

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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.