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Finding the Fourth Proportional to 228,643.68, 314,832.96 and 202,778.40

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Solution

The fourth proportional to 228,643.68, 314,832.96 and 202,778.40 is: 279,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,643.68 : 314,832.96 = 202,778.40 : x
  2. Step 2: Convert to fraction form
    228,643.68/314,832.96 = 202,778.40/x
  3. Step 3: Cross multiply
    228,643.68x = 314,832.96 × 202,778.40
  4. Step 4: Simplify right side
    228,643.68x = 63,841,323,896.06
  5. Step 5: Solve for x
    x = 63,841,323,896.06/228,643.68
  6. Step 6: Final answer
    x = 279,217.53

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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.