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Finding the Fourth Proportional to 385,214.40, 577,591.20 and 198,590.40

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Solution

The fourth proportional to 385,214.40, 577,591.20 and 198,590.40 is: 297,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,214.40 : 577,591.20 = 198,590.40 : x
  2. Step 2: Convert to fraction form
    385,214.40/577,591.20 = 198,590.40/x
  3. Step 3: Cross multiply
    385,214.40x = 577,591.20 × 198,590.40
  4. Step 4: Simplify right side
    385,214.40x = 114,704,067,444.48
  5. Step 5: Solve for x
    x = 114,704,067,444.48/385,214.40
  6. Step 6: Final answer
    x = 297,766.82

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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.