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Finding the Fourth Proportional to 313,849.96, 433,114.98 and 170,611.24

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Solution

The fourth proportional to 313,849.96, 433,114.98 and 170,611.24 is: 235,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,849.96 : 433,114.98 = 170,611.24 : x
  2. Step 2: Convert to fraction form
    313,849.96/433,114.98 = 170,611.24/x
  3. Step 3: Cross multiply
    313,849.96x = 433,114.98 × 170,611.24
  4. Step 4: Simplify right side
    313,849.96x = 73,894,283,800.38
  5. Step 5: Solve for x
    x = 73,894,283,800.38/313,849.96
  6. Step 6: Final answer
    x = 235,444.62

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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.