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Finding the Fourth Proportional to 313,950.78, 433,256.94 and 170,711.16

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Solution

The fourth proportional to 313,950.78, 433,256.94 and 170,711.16 is: 235,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,950.78 : 433,256.94 = 170,711.16 : x
  2. Step 2: Convert to fraction form
    313,950.78/433,256.94 = 170,711.16/x
  3. Step 3: Cross multiply
    313,950.78x = 433,256.94 × 170,711.16
  4. Step 4: Simplify right side
    313,950.78x = 73,961,794,805.45
  5. Step 5: Solve for x
    x = 73,961,794,805.45/313,950.78
  6. Step 6: Final answer
    x = 235,584.05

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1.5x scale

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.