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Finding the Fourth Proportional to 410,665.91, 566,712.94 and 229,380.47

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Solution

The fourth proportional to 410,665.91, 566,712.94 and 229,380.47 is: 316,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,665.91 : 566,712.94 = 229,380.47 : x
  2. Step 2: Convert to fraction form
    410,665.91/566,712.94 = 229,380.47/x
  3. Step 3: Cross multiply
    410,665.91x = 566,712.94 × 229,380.47
  4. Step 4: Simplify right side
    410,665.91x = 129,992,880,532.28
  5. Step 5: Solve for x
    x = 129,992,880,532.28/410,665.91
  6. Step 6: Final answer
    x = 316,541.69

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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.