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Finding the Fourth Proportional to 472,425.32, 652,005.78 and 271,217

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Solution

The fourth proportional to 472,425.32, 652,005.78 and 271,217 is: 374,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,425.32 : 652,005.78 = 271,217 : x
  2. Step 2: Convert to fraction form
    472,425.32/652,005.78 = 271,217/x
  3. Step 3: Cross multiply
    472,425.32x = 652,005.78 × 271,217
  4. Step 4: Simplify right side
    472,425.32x = 176,835,051,634.26
  5. Step 5: Solve for x
    x = 176,835,051,634.26/472,425.32
  6. Step 6: Final answer
    x = 374,313.24

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