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Finding the Fourth Proportional to 313,778.68, 433,017.36 and 170,539.04

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Solution

The fourth proportional to 313,778.68, 433,017.36 and 170,539.04 is: 235,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,778.68 : 433,017.36 = 170,539.04 : x
  2. Step 2: Convert to fraction form
    313,778.68/433,017.36 = 170,539.04/x
  3. Step 3: Cross multiply
    313,778.68x = 433,017.36 × 170,539.04
  4. Step 4: Simplify right side
    313,778.68x = 73,846,364,877.73
  5. Step 5: Solve for x
    x = 73,846,364,877.73/313,778.68
  6. Step 6: Final answer
    x = 235,345.39

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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.