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Finding the Fourth Proportional to 418,464.32, 577,484.52 and 227,478.08

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Solution

The fourth proportional to 418,464.32, 577,484.52 and 227,478.08 is: 313,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,464.32 : 577,484.52 = 227,478.08 : x
  2. Step 2: Convert to fraction form
    418,464.32/577,484.52 = 227,478.08/x
  3. Step 3: Cross multiply
    418,464.32x = 577,484.52 × 227,478.08
  4. Step 4: Simplify right side
    418,464.32x = 131,365,069,839.32
  5. Step 5: Solve for x
    x = 131,365,069,839.32/418,464.32
  6. Step 6: Final answer
    x = 313,921.79

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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.