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Finding the Fourth Proportional to 439,476.80, 658,340.40 and 229,233.20

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Solution

The fourth proportional to 439,476.80, 658,340.40 and 229,233.20 is: 343,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,476.80 : 658,340.40 = 229,233.20 : x
  2. Step 2: Convert to fraction form
    439,476.80/658,340.40 = 229,233.20/x
  3. Step 3: Cross multiply
    439,476.80x = 658,340.40 × 229,233.20
  4. Step 4: Simplify right side
    439,476.80x = 150,913,476,581.28
  5. Step 5: Solve for x
    x = 150,913,476,581.28/439,476.80
  6. Step 6: Final answer
    x = 343,393.50

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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.