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Finding the Fourth Proportional to 401,219.20, 553,741.44 and 231,420.16

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Solution

The fourth proportional to 401,219.20, 553,741.44 and 231,420.16 is: 319,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,219.20 : 553,741.44 = 231,420.16 : x
  2. Step 2: Convert to fraction form
    401,219.20/553,741.44 = 231,420.16/x
  3. Step 3: Cross multiply
    401,219.20x = 553,741.44 × 231,420.16
  4. Step 4: Simplify right side
    401,219.20x = 128,146,932,643.43
  5. Step 5: Solve for x
    x = 128,146,932,643.43/401,219.20
  6. Step 6: Final answer
    x = 319,393.82

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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.