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Finding the Fourth Proportional to 647,535.40, 970,842.30 and 248,021.80

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Solution

The fourth proportional to 647,535.40, 970,842.30 and 248,021.80 is: 371,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,535.40 : 970,842.30 = 248,021.80 : x
  2. Step 2: Convert to fraction form
    647,535.40/970,842.30 = 248,021.80/x
  3. Step 3: Cross multiply
    647,535.40x = 970,842.30 × 248,021.80
  4. Step 4: Simplify right side
    647,535.40x = 240,790,054,762.14
  5. Step 5: Solve for x
    x = 240,790,054,762.14/647,535.40
  6. Step 6: Final answer
    x = 371,856.20

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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.