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Finding the Fourth Proportional to 313,851.56, 433,124.64 and 177,885.80

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Solution

The fourth proportional to 313,851.56, 433,124.64 and 177,885.80 is: 245,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,851.56 : 433,124.64 = 177,885.80 : x
  2. Step 2: Convert to fraction form
    313,851.56/433,124.64 = 177,885.80/x
  3. Step 3: Cross multiply
    313,851.56x = 433,124.64 × 177,885.80
  4. Step 4: Simplify right side
    313,851.56x = 77,046,723,086.11
  5. Step 5: Solve for x
    x = 77,046,723,086.11/313,851.56
  6. Step 6: Final answer
    x = 245,487.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.