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Finding the Fourth Proportional to 381,058.23, 525,903.66 and 219,956.52

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Solution

The fourth proportional to 381,058.23, 525,903.66 and 219,956.52 is: 303,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,058.23 : 525,903.66 = 219,956.52 : x
  2. Step 2: Convert to fraction form
    381,058.23/525,903.66 = 219,956.52/x
  3. Step 3: Cross multiply
    381,058.23x = 525,903.66 × 219,956.52
  4. Step 4: Simplify right side
    381,058.23x = 115,675,938,908.86
  5. Step 5: Solve for x
    x = 115,675,938,908.86/381,058.23
  6. Step 6: Final answer
    x = 303,564.99

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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.