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Finding the Fourth Proportional to 472,778.19, 709,071.94 and 173,156.47

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Solution

The fourth proportional to 472,778.19, 709,071.94 and 173,156.47 is: 259,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,778.19 : 709,071.94 = 173,156.47 : x
  2. Step 2: Convert to fraction form
    472,778.19/709,071.94 = 173,156.47/x
  3. Step 3: Cross multiply
    472,778.19x = 709,071.94 × 173,156.47
  4. Step 4: Simplify right side
    472,778.19x = 122,780,394,106.45
  5. Step 5: Solve for x
    x = 122,780,394,106.45/472,778.19
  6. Step 6: Final answer
    x = 259,699.78

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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.