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Finding the Fourth Proportional to 457,197.35, 685,603.44 and 172,839.96

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Solution

The fourth proportional to 457,197.35, 685,603.44 and 172,839.96 is: 259,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,197.35 : 685,603.44 = 172,839.96 : x
  2. Step 2: Convert to fraction form
    457,197.35/685,603.44 = 172,839.96/x
  3. Step 3: Cross multiply
    457,197.35x = 685,603.44 × 172,839.96
  4. Step 4: Simplify right side
    457,197.35x = 118,499,671,145.46
  5. Step 5: Solve for x
    x = 118,499,671,145.46/457,197.35
  6. Step 6: Final answer
    x = 259,187.14

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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.