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Finding the Fourth Proportional to 288,016.80, 432,025.20 and 277,519.20

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Solution

The fourth proportional to 288,016.80, 432,025.20 and 277,519.20 is: 416,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,016.80 : 432,025.20 = 277,519.20 : x
  2. Step 2: Convert to fraction form
    288,016.80/432,025.20 = 277,519.20/x
  3. Step 3: Cross multiply
    288,016.80x = 432,025.20 × 277,519.20
  4. Step 4: Simplify right side
    288,016.80x = 119,895,287,883.84
  5. Step 5: Solve for x
    x = 119,895,287,883.84/288,016.80
  6. Step 6: Final answer
    x = 416,278.80

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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.