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Finding the Fourth Proportional to 265,429.80, 398,759.10 and 182,485.80

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Solution

The fourth proportional to 265,429.80, 398,759.10 and 182,485.80 is: 274,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,429.80 : 398,759.10 = 182,485.80 : x
  2. Step 2: Convert to fraction form
    265,429.80/398,759.10 = 182,485.80/x
  3. Step 3: Cross multiply
    265,429.80x = 398,759.10 × 182,485.80
  4. Step 4: Simplify right side
    265,429.80x = 72,767,873,370.78
  5. Step 5: Solve for x
    x = 72,767,873,370.78/265,429.80
  6. Step 6: Final answer
    x = 274,151.11

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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.