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Finding the Fourth Proportional to 313,806.42, 433,057.28 and 170,566.47

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Solution

The fourth proportional to 313,806.42, 433,057.28 and 170,566.47 is: 235,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,806.42 : 433,057.28 = 170,566.47 : x
  2. Step 2: Convert to fraction form
    313,806.42/433,057.28 = 170,566.47/x
  3. Step 3: Cross multiply
    313,806.42x = 433,057.28 × 170,566.47
  4. Step 4: Simplify right side
    313,806.42x = 73,865,050,704.57
  5. Step 5: Solve for x
    x = 73,865,050,704.57/313,806.42
  6. Step 6: Final answer
    x = 235,384.13

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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.