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Finding the Fourth Proportional to 408,953.20, 613,429.80 and 231,806.20

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Solution

The fourth proportional to 408,953.20, 613,429.80 and 231,806.20 is: 347,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,953.20 : 613,429.80 = 231,806.20 : x
  2. Step 2: Convert to fraction form
    408,953.20/613,429.80 = 231,806.20/x
  3. Step 3: Cross multiply
    408,953.20x = 613,429.80 × 231,806.20
  4. Step 4: Simplify right side
    408,953.20x = 142,196,830,904.76
  5. Step 5: Solve for x
    x = 142,196,830,904.76/408,953.20
  6. Step 6: Final answer
    x = 347,709.30

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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.