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Finding the Fourth Proportional to 408,235.82, 563,384.66 and 226,950.77

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Solution

The fourth proportional to 408,235.82, 563,384.66 and 226,950.77 is: 313,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,235.82 : 563,384.66 = 226,950.77 : x
  2. Step 2: Convert to fraction form
    408,235.82/563,384.66 = 226,950.77/x
  3. Step 3: Cross multiply
    408,235.82x = 563,384.66 × 226,950.77
  4. Step 4: Simplify right side
    408,235.82x = 127,860,584,999.84
  5. Step 5: Solve for x
    x = 127,860,584,999.84/408,235.82
  6. Step 6: Final answer
    x = 313,202.76

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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.