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Finding the Fourth Proportional to 656,128, 984,092.16 and 182,763.52

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Solution

The fourth proportional to 656,128, 984,092.16 and 182,763.52 is: 274,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,128 : 984,092.16 = 182,763.52 : x
  2. Step 2: Convert to fraction form
    656,128/984,092.16 = 182,763.52/x
  3. Step 3: Cross multiply
    656,128x = 984,092.16 × 182,763.52
  4. Step 4: Simplify right side
    656,128x = 179,856,147,166.00
  5. Step 5: Solve for x
    x = 179,856,147,166.00/656,128
  6. Step 6: Final answer
    x = 274,117.47

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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.