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Finding the Fourth Proportional to 561,874.32, 842,635.80 and 187,809.84

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Solution

The fourth proportional to 561,874.32, 842,635.80 and 187,809.84 is: 281,656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,874.32 : 842,635.80 = 187,809.84 : x
  2. Step 2: Convert to fraction form
    561,874.32/842,635.80 = 187,809.84/x
  3. Step 3: Cross multiply
    561,874.32x = 842,635.80 × 187,809.84
  4. Step 4: Simplify right side
    561,874.32x = 158,255,294,776.27
  5. Step 5: Solve for x
    x = 158,255,294,776.27/561,874.32
  6. Step 6: Final answer
    x = 281,656.04

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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.