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Finding the Fourth Proportional to 301,544.64, 416,115.36 and 167,400

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Solution

The fourth proportional to 301,544.64, 416,115.36 and 167,400 is: 231,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,544.64 : 416,115.36 = 167,400 : x
  2. Step 2: Convert to fraction form
    301,544.64/416,115.36 = 167,400/x
  3. Step 3: Cross multiply
    301,544.64x = 416,115.36 × 167,400
  4. Step 4: Simplify right side
    301,544.64x = 69,657,711,264
  5. Step 5: Solve for x
    x = 69,657,711,264/301,544.64
  6. Step 6: Final answer
    x = 231,002.98

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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.