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Finding the Fourth Proportional to 381,510.24, 526,362.34 and 220,344

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Solution

The fourth proportional to 381,510.24, 526,362.34 and 220,344 is: 304,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,510.24 : 526,362.34 = 220,344 : x
  2. Step 2: Convert to fraction form
    381,510.24/526,362.34 = 220,344/x
  3. Step 3: Cross multiply
    381,510.24x = 526,362.34 × 220,344
  4. Step 4: Simplify right side
    381,510.24x = 115,980,783,444.96
  5. Step 5: Solve for x
    x = 115,980,783,444.96/381,510.24
  6. Step 6: Final answer
    x = 304,004.38

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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.