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Finding the Fourth Proportional to 301,496.56, 416,044.40 and 167,350

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Solution

The fourth proportional to 301,496.56, 416,044.40 and 167,350 is: 230,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,496.56 : 416,044.40 = 167,350 : x
  2. Step 2: Convert to fraction form
    301,496.56/416,044.40 = 167,350/x
  3. Step 3: Cross multiply
    301,496.56x = 416,044.40 × 167,350
  4. Step 4: Simplify right side
    301,496.56x = 69,625,030,340
  5. Step 5: Solve for x
    x = 69,625,030,340/301,496.56
  6. Step 6: Final answer
    x = 230,931.43

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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.