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Finding the Fourth Proportional to 549,781.88, 824,694.63 and 261,524.30

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Solution

The fourth proportional to 549,781.88, 824,694.63 and 261,524.30 is: 392,296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,781.88 : 824,694.63 = 261,524.30 : x
  2. Step 2: Convert to fraction form
    549,781.88/824,694.63 = 261,524.30/x
  3. Step 3: Cross multiply
    549,781.88x = 824,694.63 × 261,524.30
  4. Step 4: Simplify right side
    549,781.88x = 215,677,685,824.51
  5. Step 5: Solve for x
    x = 215,677,685,824.51/549,781.88
  6. Step 6: Final answer
    x = 392,296.82

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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.