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Finding the Fourth Proportional to 381,695.40, 572,543.10 and 182,111.40

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Solution

The fourth proportional to 381,695.40, 572,543.10 and 182,111.40 is: 273,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,695.40 : 572,543.10 = 182,111.40 : x
  2. Step 2: Convert to fraction form
    381,695.40/572,543.10 = 182,111.40/x
  3. Step 3: Cross multiply
    381,695.40x = 572,543.10 × 182,111.40
  4. Step 4: Simplify right side
    381,695.40x = 104,266,625,501.34
  5. Step 5: Solve for x
    x = 104,266,625,501.34/381,695.40
  6. Step 6: Final answer
    x = 273,167.10

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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.