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Finding the Fourth Proportional to 410,090.20, 615,135.30 and 251,805.40

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Solution

The fourth proportional to 410,090.20, 615,135.30 and 251,805.40 is: 377,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,090.20 : 615,135.30 = 251,805.40 : x
  2. Step 2: Convert to fraction form
    410,090.20/615,135.30 = 251,805.40/x
  3. Step 3: Cross multiply
    410,090.20x = 615,135.30 × 251,805.40
  4. Step 4: Simplify right side
    410,090.20x = 154,894,390,270.62
  5. Step 5: Solve for x
    x = 154,894,390,270.62/410,090.20
  6. Step 6: Final answer
    x = 377,708.10

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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.