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Finding the Fourth Proportional to 411,166.20, 615,827.70 and 245,278.20

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Solution

The fourth proportional to 411,166.20, 615,827.70 and 245,278.20 is: 367,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,166.20 : 615,827.70 = 245,278.20 : x
  2. Step 2: Convert to fraction form
    411,166.20/615,827.70 = 245,278.20/x
  3. Step 3: Cross multiply
    411,166.20x = 615,827.70 × 245,278.20
  4. Step 4: Simplify right side
    411,166.20x = 151,049,109,766.14
  5. Step 5: Solve for x
    x = 151,049,109,766.14/411,166.20
  6. Step 6: Final answer
    x = 367,367.53

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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.