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Finding the Fourth Proportional to 323,295.36, 446,351.82 and 238,264.32

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Solution

The fourth proportional to 323,295.36, 446,351.82 and 238,264.32 is: 328,955.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,295.36 : 446,351.82 = 238,264.32 : x
  2. Step 2: Convert to fraction form
    323,295.36/446,351.82 = 238,264.32/x
  3. Step 3: Cross multiply
    323,295.36x = 446,351.82 × 238,264.32
  4. Step 4: Simplify right side
    323,295.36x = 106,349,712,873.06
  5. Step 5: Solve for x
    x = 106,349,712,873.06/323,295.36
  6. Step 6: Final answer
    x = 328,955.27

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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.