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Finding the Fourth Proportional to 561,698.73, 842,373.14 and 187,634.25

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Solution

The fourth proportional to 561,698.73, 842,373.14 and 187,634.25 is: 281,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,698.73 : 842,373.14 = 187,634.25 : x
  2. Step 2: Convert to fraction form
    561,698.73/842,373.14 = 187,634.25/x
  3. Step 3: Cross multiply
    561,698.73x = 842,373.14 × 187,634.25
  4. Step 4: Simplify right side
    561,698.73x = 158,058,051,405.87
  5. Step 5: Solve for x
    x = 158,058,051,405.87/561,698.73
  6. Step 6: Final answer
    x = 281,392.93

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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.