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Finding the Fourth Proportional to 457,337.40, 685,740.19 and 173,049.91

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Solution

The fourth proportional to 457,337.40, 685,740.19 and 173,049.91 is: 259,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,337.40 : 685,740.19 = 173,049.91 : x
  2. Step 2: Convert to fraction form
    457,337.40/685,740.19 = 173,049.91/x
  3. Step 3: Cross multiply
    457,337.40x = 685,740.19 × 173,049.91
  4. Step 4: Simplify right side
    457,337.40x = 118,667,277,297.63
  5. Step 5: Solve for x
    x = 118,667,277,297.63/457,337.40
  6. Step 6: Final answer
    x = 259,474.25

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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.