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Finding the Fourth Proportional to 308,049.90, 461,167.65 and 229,512.30

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Solution

The fourth proportional to 308,049.90, 461,167.65 and 229,512.30 is: 343,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,049.90 : 461,167.65 = 229,512.30 : x
  2. Step 2: Convert to fraction form
    308,049.90/461,167.65 = 229,512.30/x
  3. Step 3: Cross multiply
    308,049.90x = 461,167.65 × 229,512.30
  4. Step 4: Simplify right side
    308,049.90x = 105,843,648,037.10
  5. Step 5: Solve for x
    x = 105,843,648,037.10/308,049.90
  6. Step 6: Final answer
    x = 343,592.54

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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.