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Finding the Fourth Proportional to 372,145.75, 557,966.01 and 189,327.24

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Solution

The fourth proportional to 372,145.75, 557,966.01 and 189,327.24 is: 283,862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,145.75 : 557,966.01 = 189,327.24 : x
  2. Step 2: Convert to fraction form
    372,145.75/557,966.01 = 189,327.24/x
  3. Step 3: Cross multiply
    372,145.75x = 557,966.01 × 189,327.24
  4. Step 4: Simplify right side
    372,145.75x = 105,638,164,687.11
  5. Step 5: Solve for x
    x = 105,638,164,687.11/372,145.75
  6. Step 6: Final answer
    x = 283,862.34

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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.