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Finding the Fourth Proportional to 216,098.40, 324,439.20 and 171,775.20

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Solution

The fourth proportional to 216,098.40, 324,439.20 and 171,775.20 is: 257,894.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,098.40 : 324,439.20 = 171,775.20 : x
  2. Step 2: Convert to fraction form
    216,098.40/324,439.20 = 171,775.20/x
  3. Step 3: Cross multiply
    216,098.40x = 324,439.20 × 171,775.20
  4. Step 4: Simplify right side
    216,098.40x = 55,730,608,467.84
  5. Step 5: Solve for x
    x = 55,730,608,467.84/216,098.40
  6. Step 6: Final answer
    x = 257,894.59

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1.5x scale

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.