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Finding the Fourth Proportional to 472,677.12, 652,406.40 and 271,589.76

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Solution

The fourth proportional to 472,677.12, 652,406.40 and 271,589.76 is: 374,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,677.12 : 652,406.40 = 271,589.76 : x
  2. Step 2: Convert to fraction form
    472,677.12/652,406.40 = 271,589.76/x
  3. Step 3: Cross multiply
    472,677.12x = 652,406.40 × 271,589.76
  4. Step 4: Simplify right side
    472,677.12x = 177,186,897,598.46
  5. Step 5: Solve for x
    x = 177,186,897,598.46/472,677.12
  6. Step 6: Final answer
    x = 374,858.21

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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.