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Finding the Fourth Proportional to 300,823.40, 415,083.67 and 171,702.92

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Solution

The fourth proportional to 300,823.40, 415,083.67 and 171,702.92 is: 236,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,823.40 : 415,083.67 = 171,702.92 : x
  2. Step 2: Convert to fraction form
    300,823.40/415,083.67 = 171,702.92/x
  3. Step 3: Cross multiply
    300,823.40x = 415,083.67 × 171,702.92
  4. Step 4: Simplify right side
    300,823.40x = 71,271,075,249.38
  5. Step 5: Solve for x
    x = 71,271,075,249.38/300,823.40
  6. Step 6: Final answer
    x = 236,919.99

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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.