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Finding the Fourth Proportional to 525,103.80, 787,223.70 and 225,814.20

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Solution

The fourth proportional to 525,103.80, 787,223.70 and 225,814.20 is: 338,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,103.80 : 787,223.70 = 225,814.20 : x
  2. Step 2: Convert to fraction form
    525,103.80/787,223.70 = 225,814.20/x
  3. Step 3: Cross multiply
    525,103.80x = 787,223.70 × 225,814.20
  4. Step 4: Simplify right side
    525,103.80x = 177,766,290,036.54
  5. Step 5: Solve for x
    x = 177,766,290,036.54/525,103.80
  6. Step 6: Final answer
    x = 338,535.52

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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.