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Finding the Fourth Proportional to 546,096.68, 819,513.86 and 191,113.80

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Solution

The fourth proportional to 546,096.68, 819,513.86 and 191,113.80 is: 286,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,096.68 : 819,513.86 = 191,113.80 : x
  2. Step 2: Convert to fraction form
    546,096.68/819,513.86 = 191,113.80/x
  3. Step 3: Cross multiply
    546,096.68x = 819,513.86 × 191,113.80
  4. Step 4: Simplify right side
    546,096.68x = 156,620,407,937.27
  5. Step 5: Solve for x
    x = 156,620,407,937.27/546,096.68
  6. Step 6: Final answer
    x = 286,799.78

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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.