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Finding the Fourth Proportional to 418,904.09, 578,070.38 and 227,918.24

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Solution

The fourth proportional to 418,904.09, 578,070.38 and 227,918.24 is: 314,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,904.09 : 578,070.38 = 227,918.24 : x
  2. Step 2: Convert to fraction form
    418,904.09/578,070.38 = 227,918.24/x
  3. Step 3: Cross multiply
    418,904.09x = 578,070.38 × 227,918.24
  4. Step 4: Simplify right side
    418,904.09x = 131,752,782,466.14
  5. Step 5: Solve for x
    x = 131,752,782,466.14/418,904.09
  6. Step 6: Final answer
    x = 314,517.78

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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.