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Finding the Fourth Proportional to 561,878.82, 842,642.55 and 187,814.34

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Solution

The fourth proportional to 561,878.82, 842,642.55 and 187,814.34 is: 281,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,878.82 : 842,642.55 = 187,814.34 : x
  2. Step 2: Convert to fraction form
    561,878.82/842,642.55 = 187,814.34/x
  3. Step 3: Cross multiply
    561,878.82x = 842,642.55 × 187,814.34
  4. Step 4: Simplify right side
    561,878.82x = 158,260,354,384.17
  5. Step 5: Solve for x
    x = 158,260,354,384.17/561,878.82
  6. Step 6: Final answer
    x = 281,662.79

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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.