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Finding the Fourth Proportional to 313,774.97, 433,006.86 and 170,535.88

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Solution

The fourth proportional to 313,774.97, 433,006.86 and 170,535.88 is: 235,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,774.97 : 433,006.86 = 170,535.88 : x
  2. Step 2: Convert to fraction form
    313,774.97/433,006.86 = 170,535.88/x
  3. Step 3: Cross multiply
    313,774.97x = 433,006.86 × 170,535.88
  4. Step 4: Simplify right side
    313,774.97x = 73,843,207,096.90
  5. Step 5: Solve for x
    x = 73,843,207,096.90/313,774.97
  6. Step 6: Final answer
    x = 235,338.11

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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.