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Finding the Fourth Proportional to 412,783.52, 569,608.06 and 229,028

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Solution

The fourth proportional to 412,783.52, 569,608.06 and 229,028 is: 316,040.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,783.52 : 569,608.06 = 229,028 : x
  2. Step 2: Convert to fraction form
    412,783.52/569,608.06 = 229,028/x
  3. Step 3: Cross multiply
    412,783.52x = 569,608.06 × 229,028
  4. Step 4: Simplify right side
    412,783.52x = 130,456,194,765.68
  5. Step 5: Solve for x
    x = 130,456,194,765.68/412,783.52
  6. Step 6: Final answer
    x = 316,040.22

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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.