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Finding the Fourth Proportional to 301,505.64, 416,046.96 and 174,222.24

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Solution

The fourth proportional to 301,505.64, 416,046.96 and 174,222.24 is: 240,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,505.64 : 416,046.96 = 174,222.24 : x
  2. Step 2: Convert to fraction form
    301,505.64/416,046.96 = 174,222.24/x
  3. Step 3: Cross multiply
    301,505.64x = 416,046.96 × 174,222.24
  4. Step 4: Simplify right side
    301,505.64x = 72,484,633,316.39
  5. Step 5: Solve for x
    x = 72,484,633,316.39/301,505.64
  6. Step 6: Final answer
    x = 240,408.88

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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.