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Finding the Fourth Proportional to 410,145.40, 615,218.10 and 188,961.40

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Solution

The fourth proportional to 410,145.40, 615,218.10 and 188,961.40 is: 283,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,145.40 : 615,218.10 = 188,961.40 : x
  2. Step 2: Convert to fraction form
    410,145.40/615,218.10 = 188,961.40/x
  3. Step 3: Cross multiply
    410,145.40x = 615,218.10 × 188,961.40
  4. Step 4: Simplify right side
    410,145.40x = 116,252,473,481.34
  5. Step 5: Solve for x
    x = 116,252,473,481.34/410,145.40
  6. Step 6: Final answer
    x = 283,442.10

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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.