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Finding the Fourth Proportional to 381,589.46, 572,389.37 and 141,610.63

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Solution

The fourth proportional to 381,589.46, 572,389.37 and 141,610.63 is: 212,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,589.46 : 572,389.37 = 141,610.63 : x
  2. Step 2: Convert to fraction form
    381,589.46/572,389.37 = 141,610.63/x
  3. Step 3: Cross multiply
    381,589.46x = 572,389.37 × 141,610.63
  4. Step 4: Simplify right side
    381,589.46x = 81,056,415,721.00
  5. Step 5: Solve for x
    x = 81,056,415,721.00/381,589.46
  6. Step 6: Final answer
    x = 212,417.86

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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.