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Finding the Fourth Proportional to 412,659, 569,478.06 and 233,811

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Solution

The fourth proportional to 412,659, 569,478.06 and 233,811 is: 322,664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,659 : 569,478.06 = 233,811 : x
  2. Step 2: Convert to fraction form
    412,659/569,478.06 = 233,811/x
  3. Step 3: Cross multiply
    412,659x = 569,478.06 × 233,811
  4. Step 4: Simplify right side
    412,659x = 133,150,234,686.66
  5. Step 5: Solve for x
    x = 133,150,234,686.66/412,659
  6. Step 6: Final answer
    x = 322,664.08

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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.