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Finding the Fourth Proportional to 354,694.40, 532,041.60 and 221,724.80

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Solution

The fourth proportional to 354,694.40, 532,041.60 and 221,724.80 is: 332,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,694.40 : 532,041.60 = 221,724.80 : x
  2. Step 2: Convert to fraction form
    354,694.40/532,041.60 = 221,724.80/x
  3. Step 3: Cross multiply
    354,694.40x = 532,041.60 × 221,724.80
  4. Step 4: Simplify right side
    354,694.40x = 117,966,817,351.68
  5. Step 5: Solve for x
    x = 117,966,817,351.68/354,694.40
  6. Step 6: Final answer
    x = 332,587.20

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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.