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Finding the Fourth Proportional to 231,049.60, 346,574.40 and 217,052.80

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Solution

The fourth proportional to 231,049.60, 346,574.40 and 217,052.80 is: 325,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,049.60 : 346,574.40 = 217,052.80 : x
  2. Step 2: Convert to fraction form
    231,049.60/346,574.40 = 217,052.80/x
  3. Step 3: Cross multiply
    231,049.60x = 346,574.40 × 217,052.80
  4. Step 4: Simplify right side
    231,049.60x = 75,224,943,928.32
  5. Step 5: Solve for x
    x = 75,224,943,928.32/231,049.60
  6. Step 6: Final answer
    x = 325,579.20

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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.