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Finding the Fourth Proportional to 412,570.52, 569,347.30 and 233,722.52

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Solution

The fourth proportional to 412,570.52, 569,347.30 and 233,722.52 is: 322,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,570.52 : 569,347.30 = 233,722.52 : x
  2. Step 2: Convert to fraction form
    412,570.52/569,347.30 = 233,722.52/x
  3. Step 3: Cross multiply
    412,570.52x = 569,347.30 × 233,722.52
  4. Step 4: Simplify right side
    412,570.52x = 133,069,285,711.20
  5. Step 5: Solve for x
    x = 133,069,285,711.20/412,570.52
  6. Step 6: Final answer
    x = 322,537.07

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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.