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Finding the Fourth Proportional to 561,815.73, 842,548.64 and 187,751.25

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Solution

The fourth proportional to 561,815.73, 842,548.64 and 187,751.25 is: 281,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,815.73 : 842,548.64 = 187,751.25 : x
  2. Step 2: Convert to fraction form
    561,815.73/842,548.64 = 187,751.25/x
  3. Step 3: Cross multiply
    561,815.73x = 842,548.64 × 187,751.25
  4. Step 4: Simplify right side
    561,815.73x = 158,189,559,407.04
  5. Step 5: Solve for x
    x = 158,189,559,407.04/561,815.73
  6. Step 6: Final answer
    x = 281,568.41

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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.