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Finding the Fourth Proportional to 277,246.80, 415,870.20 and 259,750.80

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Solution

The fourth proportional to 277,246.80, 415,870.20 and 259,750.80 is: 389,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,246.80 : 415,870.20 = 259,750.80 : x
  2. Step 2: Convert to fraction form
    277,246.80/415,870.20 = 259,750.80/x
  3. Step 3: Cross multiply
    277,246.80x = 415,870.20 × 259,750.80
  4. Step 4: Simplify right side
    277,246.80x = 108,022,617,146.16
  5. Step 5: Solve for x
    x = 108,022,617,146.16/277,246.80
  6. Step 6: Final answer
    x = 389,626.20

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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.