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Finding the Fourth Proportional to 313,909.89, 433,258.49 and 186,560.85

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Solution

The fourth proportional to 313,909.89, 433,258.49 and 186,560.85 is: 257,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,909.89 : 433,258.49 = 186,560.85 : x
  2. Step 2: Convert to fraction form
    313,909.89/433,258.49 = 186,560.85/x
  3. Step 3: Cross multiply
    313,909.89x = 433,258.49 × 186,560.85
  4. Step 4: Simplify right side
    313,909.89x = 80,829,071,231.31
  5. Step 5: Solve for x
    x = 80,829,071,231.31/313,909.89
  6. Step 6: Final answer
    x = 257,491.32

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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.