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Finding the Fourth Proportional to 473,100.09, 652,780.67 and 271,857.21

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Solution

The fourth proportional to 473,100.09, 652,780.67 and 271,857.21 is: 375,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,100.09 : 652,780.67 = 271,857.21 : x
  2. Step 2: Convert to fraction form
    473,100.09/652,780.67 = 271,857.21/x
  3. Step 3: Cross multiply
    473,100.09x = 652,780.67 × 271,857.21
  4. Step 4: Simplify right side
    473,100.09x = 177,463,130,328.85
  5. Step 5: Solve for x
    x = 177,463,130,328.85/473,100.09
  6. Step 6: Final answer
    x = 375,106.95

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Why These Related Problems?

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