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Finding the Fourth Proportional to 496,530.84, 685,209.42 and 270,177.24

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Solution

The fourth proportional to 496,530.84, 685,209.42 and 270,177.24 is: 372,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,530.84 : 685,209.42 = 270,177.24 : x
  2. Step 2: Convert to fraction form
    496,530.84/685,209.42 = 270,177.24/x
  3. Step 3: Cross multiply
    496,530.84x = 685,209.42 × 270,177.24
  4. Step 4: Simplify right side
    496,530.84x = 185,127,989,917.60
  5. Step 5: Solve for x
    x = 185,127,989,917.60/496,530.84
  6. Step 6: Final answer
    x = 372,842.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.