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Finding the Fourth Proportional to 546,032.63, 819,418.17 and 191,049.71

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Solution

The fourth proportional to 546,032.63, 819,418.17 and 191,049.71 is: 286,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,032.63 : 819,418.17 = 191,049.71 : x
  2. Step 2: Convert to fraction form
    546,032.63/819,418.17 = 191,049.71/x
  3. Step 3: Cross multiply
    546,032.63x = 819,418.17 × 191,049.71
  4. Step 4: Simplify right side
    546,032.63x = 156,549,603,747.23
  5. Step 5: Solve for x
    x = 156,549,603,747.23/546,032.63
  6. Step 6: Final answer
    x = 286,703.75

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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.