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Finding the Fourth Proportional to 288,877.23, 398,750.78 and 198,532.26

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Solution

The fourth proportional to 288,877.23, 398,750.78 and 198,532.26 is: 274,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,877.23 : 398,750.78 = 198,532.26 : x
  2. Step 2: Convert to fraction form
    288,877.23/398,750.78 = 198,532.26/x
  3. Step 3: Cross multiply
    288,877.23x = 398,750.78 × 198,532.26
  4. Step 4: Simplify right side
    288,877.23x = 79,164,890,543.75
  5. Step 5: Solve for x
    x = 79,164,890,543.75/288,877.23
  6. Step 6: Final answer
    x = 274,043.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.