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Finding the Fourth Proportional to 546,086.52, 819,498.84 and 191,103.66

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Solution

The fourth proportional to 546,086.52, 819,498.84 and 191,103.66 is: 286,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,086.52 : 819,498.84 = 191,103.66 : x
  2. Step 2: Convert to fraction form
    546,086.52/819,498.84 = 191,103.66/x
  3. Step 3: Cross multiply
    546,086.52x = 819,498.84 × 191,103.66
  4. Step 4: Simplify right side
    546,086.52x = 156,609,227,689.75
  5. Step 5: Solve for x
    x = 156,609,227,689.75/546,086.52
  6. Step 6: Final answer
    x = 286,784.64

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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.