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Finding the Fourth Proportional to 428,454.54, 642,457.17 and 147,905.10

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Solution

The fourth proportional to 428,454.54, 642,457.17 and 147,905.10 is: 221,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,454.54 : 642,457.17 = 147,905.10 : x
  2. Step 2: Convert to fraction form
    428,454.54/642,457.17 = 147,905.10/x
  3. Step 3: Cross multiply
    428,454.54x = 642,457.17 × 147,905.10
  4. Step 4: Simplify right side
    428,454.54x = 95,022,691,974.57
  5. Step 5: Solve for x
    x = 95,022,691,974.57/428,454.54
  6. Step 6: Final answer
    x = 221,780.10

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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.