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Finding the Fourth Proportional to 217,474.80, 325,823.40 and 177,817.20

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Solution

The fourth proportional to 217,474.80, 325,823.40 and 177,817.20 is: 266,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,474.80 : 325,823.40 = 177,817.20 : x
  2. Step 2: Convert to fraction form
    217,474.80/325,823.40 = 177,817.20/x
  3. Step 3: Cross multiply
    217,474.80x = 325,823.40 × 177,817.20
  4. Step 4: Simplify right side
    217,474.80x = 57,937,004,682.48
  5. Step 5: Solve for x
    x = 57,937,004,682.48/217,474.80
  6. Step 6: Final answer
    x = 266,407.90

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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.