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Finding the Fourth Proportional to 549,853.13, 824,718.85 and 145,086.41

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Solution

The fourth proportional to 549,853.13, 824,718.85 and 145,086.41 is: 217,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,853.13 : 824,718.85 = 145,086.41 : x
  2. Step 2: Convert to fraction form
    549,853.13/824,718.85 = 145,086.41/x
  3. Step 3: Cross multiply
    549,853.13x = 824,718.85 × 145,086.41
  4. Step 4: Simplify right side
    549,853.13x = 119,655,498,904.91
  5. Step 5: Solve for x
    x = 119,655,498,904.91/549,853.13
  6. Step 6: Final answer
    x = 217,613.56

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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.