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Finding the Fourth Proportional to 400,826.54, 553,149.54 and 228,741.06

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Solution

The fourth proportional to 400,826.54, 553,149.54 and 228,741.06 is: 315,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,826.54 : 553,149.54 = 228,741.06 : x
  2. Step 2: Convert to fraction form
    400,826.54/553,149.54 = 228,741.06/x
  3. Step 3: Cross multiply
    400,826.54x = 553,149.54 × 228,741.06
  4. Step 4: Simplify right side
    400,826.54x = 126,528,012,118.11
  5. Step 5: Solve for x
    x = 126,528,012,118.11/400,826.54
  6. Step 6: Final answer
    x = 315,667.75

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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.