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Finding the Fourth Proportional to 408,036.66, 563,054.74 and 226,737.10

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Solution

The fourth proportional to 408,036.66, 563,054.74 and 226,737.10 is: 312,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,036.66 : 563,054.74 = 226,737.10 : x
  2. Step 2: Convert to fraction form
    408,036.66/563,054.74 = 226,737.10/x
  3. Step 3: Cross multiply
    408,036.66x = 563,054.74 × 226,737.10
  4. Step 4: Simplify right side
    408,036.66x = 127,665,398,888.85
  5. Step 5: Solve for x
    x = 127,665,398,888.85/408,036.66
  6. Step 6: Final answer
    x = 312,877.28

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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.