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Finding the Fourth Proportional to 418,683.24, 577,787.28 and 227,696.58

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Solution

The fourth proportional to 418,683.24, 577,787.28 and 227,696.58 is: 314,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,683.24 : 577,787.28 = 227,696.58 : x
  2. Step 2: Convert to fraction form
    418,683.24/577,787.28 = 227,696.58/x
  3. Step 3: Cross multiply
    418,683.24x = 577,787.28 × 227,696.58
  4. Step 4: Simplify right side
    418,683.24x = 131,560,187,623.50
  5. Step 5: Solve for x
    x = 131,560,187,623.50/418,683.24
  6. Step 6: Final answer
    x = 314,223.68

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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.