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Finding the Fourth Proportional to 301,714.57, 416,319.85 and 174,365.59

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Solution

The fourth proportional to 301,714.57, 416,319.85 and 174,365.59 is: 240,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,714.57 : 416,319.85 = 174,365.59 : x
  2. Step 2: Convert to fraction form
    301,714.57/416,319.85 = 174,365.59/x
  3. Step 3: Cross multiply
    301,714.57x = 416,319.85 × 174,365.59
  4. Step 4: Simplify right side
    301,714.57x = 72,591,856,273.96
  5. Step 5: Solve for x
    x = 72,591,856,273.96/301,714.57
  6. Step 6: Final answer
    x = 240,597.78

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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.