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Finding the Fourth Proportional to 410,703.26, 566,753.91 and 229,412.30

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Solution

The fourth proportional to 410,703.26, 566,753.91 and 229,412.30 is: 316,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,703.26 : 566,753.91 = 229,412.30 : x
  2. Step 2: Convert to fraction form
    410,703.26/566,753.91 = 229,412.30/x
  3. Step 3: Cross multiply
    410,703.26x = 566,753.91 × 229,412.30
  4. Step 4: Simplify right side
    410,703.26x = 130,020,318,027.09
  5. Step 5: Solve for x
    x = 130,020,318,027.09/410,703.26
  6. Step 6: Final answer
    x = 316,579.71

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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.