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Finding the Fourth Proportional to 313,264.02, 432,297.90 and 177,295.54

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Solution

The fourth proportional to 313,264.02, 432,297.90 and 177,295.54 is: 244,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,264.02 : 432,297.90 = 177,295.54 : x
  2. Step 2: Convert to fraction form
    313,264.02/432,297.90 = 177,295.54/x
  3. Step 3: Cross multiply
    313,264.02x = 432,297.90 × 177,295.54
  4. Step 4: Simplify right side
    313,264.02x = 76,644,489,621.37
  5. Step 5: Solve for x
    x = 76,644,489,621.37/313,264.02
  6. Step 6: Final answer
    x = 244,664.20

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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.