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Finding the Fourth Proportional to 547,141.82, 755,036.01 and 343,302.62

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Solution

The fourth proportional to 547,141.82, 755,036.01 and 343,302.62 is: 473,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,141.82 : 755,036.01 = 343,302.62 : x
  2. Step 2: Convert to fraction form
    547,141.82/755,036.01 = 343,302.62/x
  3. Step 3: Cross multiply
    547,141.82x = 755,036.01 × 343,302.62
  4. Step 4: Simplify right side
    547,141.82x = 259,205,840,427.35
  5. Step 5: Solve for x
    x = 259,205,840,427.35/547,141.82
  6. Step 6: Final answer
    x = 473,745.25

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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.