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Finding the Fourth Proportional to 230,470.24, 345,719.04 and 64,258.24

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Solution

The fourth proportional to 230,470.24, 345,719.04 and 64,258.24 is: 96,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,470.24 : 345,719.04 = 64,258.24 : x
  2. Step 2: Convert to fraction form
    230,470.24/345,719.04 = 64,258.24/x
  3. Step 3: Cross multiply
    230,470.24x = 345,719.04 × 64,258.24
  4. Step 4: Simplify right side
    230,470.24x = 22,215,297,044.89
  5. Step 5: Solve for x
    x = 22,215,297,044.89/230,470.24
  6. Step 6: Final answer
    x = 96,391.17

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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.