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Finding the Fourth Proportional to 418,904.73, 578,077.16 and 227,914.02

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Solution

The fourth proportional to 418,904.73, 578,077.16 and 227,914.02 is: 314,515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,904.73 : 578,077.16 = 227,914.02 : x
  2. Step 2: Convert to fraction form
    418,904.73/578,077.16 = 227,914.02/x
  3. Step 3: Cross multiply
    418,904.73x = 578,077.16 × 227,914.02
  4. Step 4: Simplify right side
    418,904.73x = 131,751,888,266.21
  5. Step 5: Solve for x
    x = 131,751,888,266.21/418,904.73
  6. Step 6: Final answer
    x = 314,515.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.