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Finding the Fourth Proportional to 297,594.40, 410,751.12 and 170,343.52

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Solution

The fourth proportional to 297,594.40, 410,751.12 and 170,343.52 is: 235,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,594.40 : 410,751.12 = 170,343.52 : x
  2. Step 2: Convert to fraction form
    297,594.40/410,751.12 = 170,343.52/x
  3. Step 3: Cross multiply
    297,594.40x = 410,751.12 × 170,343.52
  4. Step 4: Simplify right side
    297,594.40x = 69,968,791,624.74
  5. Step 5: Solve for x
    x = 69,968,791,624.74/297,594.40
  6. Step 6: Final answer
    x = 235,114.61

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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.