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Finding the Fourth Proportional to 418,881.25, 578,058.69 and 227,896.03

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Solution

The fourth proportional to 418,881.25, 578,058.69 and 227,896.03 is: 314,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,881.25 : 578,058.69 = 227,896.03 : x
  2. Step 2: Convert to fraction form
    418,881.25/578,058.69 = 227,896.03/x
  3. Step 3: Cross multiply
    418,881.25x = 578,058.69 × 227,896.03
  4. Step 4: Simplify right side
    418,881.25x = 131,737,280,558.00
  5. Step 5: Solve for x
    x = 131,737,280,558.00/418,881.25
  6. Step 6: Final answer
    x = 314,497.92

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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.