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Finding the Fourth Proportional to 561,776.23, 842,489.38 and 187,711.75

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Solution

The fourth proportional to 561,776.23, 842,489.38 and 187,711.75 is: 281,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,776.23 : 842,489.38 = 187,711.75 : x
  2. Step 2: Convert to fraction form
    561,776.23/842,489.38 = 187,711.75/x
  3. Step 3: Cross multiply
    561,776.23x = 842,489.38 × 187,711.75
  4. Step 4: Simplify right side
    561,776.23x = 158,145,155,876.22
  5. Step 5: Solve for x
    x = 158,145,155,876.22/561,776.23
  6. Step 6: Final answer
    x = 281,509.16

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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.