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Finding the Fourth Proportional to 410,941.80, 616,023.90 and 242,591.40

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Solution

The fourth proportional to 410,941.80, 616,023.90 and 242,591.40 is: 363,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,941.80 : 616,023.90 = 242,591.40 : x
  2. Step 2: Convert to fraction form
    410,941.80/616,023.90 = 242,591.40/x
  3. Step 3: Cross multiply
    410,941.80x = 616,023.90 × 242,591.40
  4. Step 4: Simplify right side
    410,941.80x = 149,442,100,334.46
  5. Step 5: Solve for x
    x = 149,442,100,334.46/410,941.80
  6. Step 6: Final answer
    x = 363,657.58

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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.