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Finding the Fourth Proportional to 401,199.32, 553,618.32 and 231,400.64

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Solution

The fourth proportional to 401,199.32, 553,618.32 and 231,400.64 is: 319,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,199.32 : 553,618.32 = 231,400.64 : x
  2. Step 2: Convert to fraction form
    401,199.32/553,618.32 = 231,400.64/x
  3. Step 3: Cross multiply
    401,199.32x = 553,618.32 × 231,400.64
  4. Step 4: Simplify right side
    401,199.32x = 128,107,633,563.73
  5. Step 5: Solve for x
    x = 128,107,633,563.73/401,199.32
  6. Step 6: Final answer
    x = 319,311.69

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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.