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Finding the Fourth Proportional to 296,643.31, 444,960.25 and 72,005.60

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Solution

The fourth proportional to 296,643.31, 444,960.25 and 72,005.60 is: 108,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,643.31 : 444,960.25 = 72,005.60 : x
  2. Step 2: Convert to fraction form
    296,643.31/444,960.25 = 72,005.60/x
  3. Step 3: Cross multiply
    296,643.31x = 444,960.25 × 72,005.60
  4. Step 4: Simplify right side
    296,643.31x = 32,039,630,709.79
  5. Step 5: Solve for x
    x = 32,039,630,709.79/296,643.31
  6. Step 6: Final answer
    x = 108,007.26

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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.