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Finding the Fourth Proportional to 264,643.64, 397,476.06 and 226,778.74

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Solution

The fourth proportional to 264,643.64, 397,476.06 and 226,778.74 is: 340,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,643.64 : 397,476.06 = 226,778.74 : x
  2. Step 2: Convert to fraction form
    264,643.64/397,476.06 = 226,778.74/x
  3. Step 3: Cross multiply
    264,643.64x = 397,476.06 × 226,778.74
  4. Step 4: Simplify right side
    264,643.64x = 90,139,120,066.96
  5. Step 5: Solve for x
    x = 90,139,120,066.96/264,643.64
  6. Step 6: Final answer
    x = 340,605.65

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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.