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Finding the Fourth Proportional to 301,827, 416,534.22 and 167,691

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Solution

The fourth proportional to 301,827, 416,534.22 and 167,691 is: 231,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,827 : 416,534.22 = 167,691 : x
  2. Step 2: Convert to fraction form
    301,827/416,534.22 = 167,691/x
  3. Step 3: Cross multiply
    301,827x = 416,534.22 × 167,691
  4. Step 4: Simplify right side
    301,827x = 69,849,039,886.02
  5. Step 5: Solve for x
    x = 69,849,039,886.02/301,827
  6. Step 6: Final answer
    x = 231,420.78

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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.