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Finding the Fourth Proportional to 412,886.24, 569,781.84 and 229,152.54

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Solution

The fourth proportional to 412,886.24, 569,781.84 and 229,152.54 is: 316,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,886.24 : 569,781.84 = 229,152.54 : x
  2. Step 2: Convert to fraction form
    412,886.24/569,781.84 = 229,152.54/x
  3. Step 3: Cross multiply
    412,886.24x = 569,781.84 × 229,152.54
  4. Step 4: Simplify right side
    412,886.24x = 130,566,958,877.88
  5. Step 5: Solve for x
    x = 130,566,958,877.88/412,886.24
  6. Step 6: Final answer
    x = 316,229.86

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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.