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Finding the Fourth Proportional to 408,393.83, 563,500.90 and 238,595.15

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Solution

The fourth proportional to 408,393.83, 563,500.90 and 238,595.15 is: 329,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,393.83 : 563,500.90 = 238,595.15 : x
  2. Step 2: Convert to fraction form
    408,393.83/563,500.90 = 238,595.15/x
  3. Step 3: Cross multiply
    408,393.83x = 563,500.90 × 238,595.15
  4. Step 4: Simplify right side
    408,393.83x = 134,448,583,467.63
  5. Step 5: Solve for x
    x = 134,448,583,467.63/408,393.83
  6. Step 6: Final answer
    x = 329,213.06

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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.