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Finding the Fourth Proportional to 403,695.16, 605,614.04 and 166,905.16

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Solution

The fourth proportional to 403,695.16, 605,614.04 and 166,905.16 is: 250,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,695.16 : 605,614.04 = 166,905.16 : x
  2. Step 2: Convert to fraction form
    403,695.16/605,614.04 = 166,905.16/x
  3. Step 3: Cross multiply
    403,695.16x = 605,614.04 × 166,905.16
  4. Step 4: Simplify right side
    403,695.16x = 101,080,108,244.45
  5. Step 5: Solve for x
    x = 101,080,108,244.45/403,695.16
  6. Step 6: Final answer
    x = 250,387.22

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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.