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Finding the Fourth Proportional to 375,930.40, 564,025.20 and 165,719.20

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Solution

The fourth proportional to 375,930.40, 564,025.20 and 165,719.20 is: 248,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,930.40 : 564,025.20 = 165,719.20 : x
  2. Step 2: Convert to fraction form
    375,930.40/564,025.20 = 165,719.20/x
  3. Step 3: Cross multiply
    375,930.40x = 564,025.20 × 165,719.20
  4. Step 4: Simplify right side
    375,930.40x = 93,469,804,923.84
  5. Step 5: Solve for x
    x = 93,469,804,923.84/375,930.40
  6. Step 6: Final answer
    x = 248,635.93

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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.