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Finding the Fourth Proportional to 457,043.77, 685,344.12 and 229,241.53

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Solution

The fourth proportional to 457,043.77, 685,344.12 and 229,241.53 is: 343,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,043.77 : 685,344.12 = 229,241.53 : x
  2. Step 2: Convert to fraction form
    457,043.77/685,344.12 = 229,241.53/x
  3. Step 3: Cross multiply
    457,043.77x = 685,344.12 × 229,241.53
  4. Step 4: Simplify right side
    457,043.77x = 157,109,334,645.30
  5. Step 5: Solve for x
    x = 157,109,334,645.30/457,043.77
  6. Step 6: Final answer
    x = 343,751.18

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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.