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Finding the Fourth Proportional to 410,146.40, 615,219.60 and 188,962.40

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Solution

The fourth proportional to 410,146.40, 615,219.60 and 188,962.40 is: 283,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,146.40 : 615,219.60 = 188,962.40 : x
  2. Step 2: Convert to fraction form
    410,146.40/615,219.60 = 188,962.40/x
  3. Step 3: Cross multiply
    410,146.40x = 615,219.60 × 188,962.40
  4. Step 4: Simplify right side
    410,146.40x = 116,253,372,143.04
  5. Step 5: Solve for x
    x = 116,253,372,143.04/410,146.40
  6. Step 6: Final answer
    x = 283,443.60

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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.