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Finding the Fourth Proportional to 410,624.67, 615,937.01 and 154,505.40

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Solution

The fourth proportional to 410,624.67, 615,937.01 and 154,505.40 is: 231,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,624.67 : 615,937.01 = 154,505.40 : x
  2. Step 2: Convert to fraction form
    410,624.67/615,937.01 = 154,505.40/x
  3. Step 3: Cross multiply
    410,624.67x = 615,937.01 × 154,505.40
  4. Step 4: Simplify right side
    410,624.67x = 95,165,592,768.47
  5. Step 5: Solve for x
    x = 95,165,592,768.47/410,624.67
  6. Step 6: Final answer
    x = 231,758.10

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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.