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Finding the Fourth Proportional to 403,822.60, 605,515.20 and 167,189.20

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Solution

The fourth proportional to 403,822.60, 605,515.20 and 167,189.20 is: 250,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,822.60 : 605,515.20 = 167,189.20 : x
  2. Step 2: Convert to fraction form
    403,822.60/605,515.20 = 167,189.20/x
  3. Step 3: Cross multiply
    403,822.60x = 605,515.20 × 167,189.20
  4. Step 4: Simplify right side
    403,822.60x = 101,235,601,875.84
  5. Step 5: Solve for x
    x = 101,235,601,875.84/403,822.60
  6. Step 6: Final answer
    x = 250,693.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.