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Finding the Fourth Proportional to 381,082.58, 525,856.06 and 219,989.53

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Solution

The fourth proportional to 381,082.58, 525,856.06 and 219,989.53 is: 303,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,082.58 : 525,856.06 = 219,989.53 : x
  2. Step 2: Convert to fraction form
    381,082.58/525,856.06 = 219,989.53/x
  3. Step 3: Cross multiply
    381,082.58x = 525,856.06 × 219,989.53
  4. Step 4: Simplify right side
    381,082.58x = 115,682,828,419.36
  5. Step 5: Solve for x
    x = 115,682,828,419.36/381,082.58
  6. Step 6: Final answer
    x = 303,563.68

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1.5x scale

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.