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Finding the Fourth Proportional to 741,095.84, 1,022,715.78 and 401,564

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Solution

The fourth proportional to 741,095.84, 1,022,715.78 and 401,564 is: 554,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,095.84 : 1,022,715.78 = 401,564 : x
  2. Step 2: Convert to fraction form
    741,095.84/1,022,715.78 = 401,564/x
  3. Step 3: Cross multiply
    741,095.84x = 1,022,715.78 × 401,564
  4. Step 4: Simplify right side
    741,095.84x = 410,685,839,479.92
  5. Step 5: Solve for x
    x = 410,685,839,479.92/741,095.84
  6. Step 6: Final answer
    x = 554,160.23

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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.