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Finding the Fourth Proportional to 408,393.74, 563,500.77 and 238,595.06

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Solution

The fourth proportional to 408,393.74, 563,500.77 and 238,595.06 is: 329,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,393.74 : 563,500.77 = 238,595.06 : x
  2. Step 2: Convert to fraction form
    408,393.74/563,500.77 = 238,595.06/x
  3. Step 3: Cross multiply
    408,393.74x = 563,500.77 × 238,595.06
  4. Step 4: Simplify right side
    408,393.74x = 134,448,500,028.20
  5. Step 5: Solve for x
    x = 134,448,500,028.20/408,393.74
  6. Step 6: Final answer
    x = 329,212.93

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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.