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Finding the Fourth Proportional to 297,713.72, 410,821.10 and 170,360.12

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Solution

The fourth proportional to 297,713.72, 410,821.10 and 170,360.12 is: 235,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,713.72 : 410,821.10 = 170,360.12 : x
  2. Step 2: Convert to fraction form
    297,713.72/410,821.10 = 170,360.12/x
  3. Step 3: Cross multiply
    297,713.72x = 410,821.10 × 170,360.12
  4. Step 4: Simplify right side
    297,713.72x = 69,987,531,894.53
  5. Step 5: Solve for x
    x = 69,987,531,894.53/297,713.72
  6. Step 6: Final answer
    x = 235,083.33

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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.