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Finding the Fourth Proportional to 401,457.36, 553,971.24 and 231,746.16

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Solution

The fourth proportional to 401,457.36, 553,971.24 and 231,746.16 is: 319,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,457.36 : 553,971.24 = 231,746.16 : x
  2. Step 2: Convert to fraction form
    401,457.36/553,971.24 = 231,746.16/x
  3. Step 3: Cross multiply
    401,457.36x = 553,971.24 × 231,746.16
  4. Step 4: Simplify right side
    401,457.36x = 128,380,707,620.44
  5. Step 5: Solve for x
    x = 128,380,707,620.44/401,457.36
  6. Step 6: Final answer
    x = 319,786.66

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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.