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Finding the Fourth Proportional to 471,089.91, 649,827.30 and 296,382.33

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Solution

The fourth proportional to 471,089.91, 649,827.30 and 296,382.33 is: 408,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,089.91 : 649,827.30 = 296,382.33 : x
  2. Step 2: Convert to fraction form
    471,089.91/649,827.30 = 296,382.33/x
  3. Step 3: Cross multiply
    471,089.91x = 649,827.30 × 296,382.33
  4. Step 4: Simplify right side
    471,089.91x = 192,597,329,271.61
  5. Step 5: Solve for x
    x = 192,597,329,271.61/471,089.91
  6. Step 6: Final answer
    x = 408,833.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.