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Finding the Fourth Proportional to 305,600.80, 458,401.20 and 288,104.80

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Solution

The fourth proportional to 305,600.80, 458,401.20 and 288,104.80 is: 432,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,600.80 : 458,401.20 = 288,104.80 : x
  2. Step 2: Convert to fraction form
    305,600.80/458,401.20 = 288,104.80/x
  3. Step 3: Cross multiply
    305,600.80x = 458,401.20 × 288,104.80
  4. Step 4: Simplify right side
    305,600.80x = 132,067,586,045.76
  5. Step 5: Solve for x
    x = 132,067,586,045.76/305,600.80
  6. Step 6: Final answer
    x = 432,157.20

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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.