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Finding the Fourth Proportional to 412,562, 569,335.56 and 233,714

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Solution

The fourth proportional to 412,562, 569,335.56 and 233,714 is: 322,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,562 : 569,335.56 = 233,714 : x
  2. Step 2: Convert to fraction form
    412,562/569,335.56 = 233,714/x
  3. Step 3: Cross multiply
    412,562x = 569,335.56 × 233,714
  4. Step 4: Simplify right side
    412,562x = 133,061,691,069.84
  5. Step 5: Solve for x
    x = 133,061,691,069.84/412,562
  6. Step 6: Final answer
    x = 322,525.32

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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.