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Finding the Fourth Proportional to 826,797.17, 1,240,082.76 and 227,672.17

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Solution

The fourth proportional to 826,797.17, 1,240,082.76 and 227,672.17 is: 341,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,797.17 : 1,240,082.76 = 227,672.17 : x
  2. Step 2: Convert to fraction form
    826,797.17/1,240,082.76 = 227,672.17/x
  3. Step 3: Cross multiply
    826,797.17x = 1,240,082.76 × 227,672.17
  4. Step 4: Simplify right side
    826,797.17x = 282,332,330,702.35
  5. Step 5: Solve for x
    x = 282,332,330,702.35/826,797.17
  6. Step 6: Final answer
    x = 341,477.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.