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Finding the Fourth Proportional to 1,055,223.49, 1,582,835.82 and 741,082.81

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Solution

The fourth proportional to 1,055,223.49, 1,582,835.82 and 741,082.81 is: 1,111,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055,223.49 : 1,582,835.82 = 741,082.81 : x
  2. Step 2: Convert to fraction form
    1,055,223.49/1,582,835.82 = 741,082.81/x
  3. Step 3: Cross multiply
    1,055,223.49x = 1,582,835.82 × 741,082.81
  4. Step 4: Simplify right side
    1,055,223.49x = 1,173,012,416,076.23
  5. Step 5: Solve for x
    x = 1,173,012,416,076.23/1,055,223.49
  6. Step 6: Final answer
    x = 1,111,624.63

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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.