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Finding the Fourth Proportional to 403,857.60, 605,567.70 and 166,932.60

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Solution

The fourth proportional to 403,857.60, 605,567.70 and 166,932.60 is: 250,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,857.60 : 605,567.70 = 166,932.60 : x
  2. Step 2: Convert to fraction form
    403,857.60/605,567.70 = 166,932.60/x
  3. Step 3: Cross multiply
    403,857.60x = 605,567.70 × 166,932.60
  4. Step 4: Simplify right side
    403,857.60x = 101,088,990,637.02
  5. Step 5: Solve for x
    x = 101,088,990,637.02/403,857.60
  6. Step 6: Final answer
    x = 250,308.50

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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.