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Finding the Fourth Proportional to 390,229.30, 585,334.80 and 179,867.24

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Solution

The fourth proportional to 390,229.30, 585,334.80 and 179,867.24 is: 269,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,229.30 : 585,334.80 = 179,867.24 : x
  2. Step 2: Convert to fraction form
    390,229.30/585,334.80 = 179,867.24/x
  3. Step 3: Cross multiply
    390,229.30x = 585,334.80 × 179,867.24
  4. Step 4: Simplify right side
    390,229.30x = 105,282,552,025.28
  5. Step 5: Solve for x
    x = 105,282,552,025.28/390,229.30
  6. Step 6: Final answer
    x = 269,796.64

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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.