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Finding the Fourth Proportional to 284,656.28, 426,393.82 and 165,967.64

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Solution

The fourth proportional to 284,656.28, 426,393.82 and 165,967.64 is: 248,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,656.28 : 426,393.82 = 165,967.64 : x
  2. Step 2: Convert to fraction form
    284,656.28/426,393.82 = 165,967.64/x
  3. Step 3: Cross multiply
    284,656.28x = 426,393.82 × 165,967.64
  4. Step 4: Simplify right side
    284,656.28x = 70,767,576,015.98
  5. Step 5: Solve for x
    x = 70,767,576,015.98/284,656.28
  6. Step 6: Final answer
    x = 248,607.11

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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.