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Finding the Fourth Proportional to 301,722.96, 416,331.36 and 174,374

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Solution

The fourth proportional to 301,722.96, 416,331.36 and 174,374 is: 240,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,722.96 : 416,331.36 = 174,374 : x
  2. Step 2: Convert to fraction form
    301,722.96/416,331.36 = 174,374/x
  3. Step 3: Cross multiply
    301,722.96x = 416,331.36 × 174,374
  4. Step 4: Simplify right side
    301,722.96x = 72,597,364,568.64
  5. Step 5: Solve for x
    x = 72,597,364,568.64/301,722.96
  6. Step 6: Final answer
    x = 240,609.35

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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.