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Finding the Fourth Proportional to 408,235.70, 563,384.50 and 226,950.66

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Solution

The fourth proportional to 408,235.70, 563,384.50 and 226,950.66 is: 313,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,235.70 : 563,384.50 = 226,950.66 : x
  2. Step 2: Convert to fraction form
    408,235.70/563,384.50 = 226,950.66/x
  3. Step 3: Cross multiply
    408,235.70x = 563,384.50 × 226,950.66
  4. Step 4: Simplify right side
    408,235.70x = 127,860,483,541.39
  5. Step 5: Solve for x
    x = 127,860,483,541.39/408,235.70
  6. Step 6: Final answer
    x = 313,202.60

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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.