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Finding the Fourth Proportional to 526,424.94, 726,466.41 and 284,707.51

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Solution

The fourth proportional to 526,424.94, 726,466.41 and 284,707.51 is: 392,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,424.94 : 726,466.41 = 284,707.51 : x
  2. Step 2: Convert to fraction form
    526,424.94/726,466.41 = 284,707.51/x
  3. Step 3: Cross multiply
    526,424.94x = 726,466.41 × 284,707.51
  4. Step 4: Simplify right side
    526,424.94x = 206,830,440,873.57
  5. Step 5: Solve for x
    x = 206,830,440,873.57/526,424.94
  6. Step 6: Final answer
    x = 392,896.36

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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.