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Finding the Fourth Proportional to 412,571, 569,347.98 and 233,723

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Solution

The fourth proportional to 412,571, 569,347.98 and 233,723 is: 322,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,571 : 569,347.98 = 233,723 : x
  2. Step 2: Convert to fraction form
    412,571/569,347.98 = 233,723/x
  3. Step 3: Cross multiply
    412,571x = 569,347.98 × 233,723
  4. Step 4: Simplify right side
    412,571x = 133,069,717,929.54
  5. Step 5: Solve for x
    x = 133,069,717,929.54/412,571
  6. Step 6: Final answer
    x = 322,537.74

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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.