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Finding the Fourth Proportional to 562,013.68, 843,124.56 and 177,859.30

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Solution

The fourth proportional to 562,013.68, 843,124.56 and 177,859.30 is: 266,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,013.68 : 843,124.56 = 177,859.30 : x
  2. Step 2: Convert to fraction form
    562,013.68/843,124.56 = 177,859.30/x
  3. Step 3: Cross multiply
    562,013.68x = 843,124.56 × 177,859.30
  4. Step 4: Simplify right side
    562,013.68x = 149,957,544,054.41
  5. Step 5: Solve for x
    x = 149,957,544,054.41/562,013.68
  6. Step 6: Final answer
    x = 266,821.88

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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.