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Finding the Fourth Proportional to 409,602.92, 565,183.56 and 228,275.12

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Solution

The fourth proportional to 409,602.92, 565,183.56 and 228,275.12 is: 314,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,602.92 : 565,183.56 = 228,275.12 : x
  2. Step 2: Convert to fraction form
    409,602.92/565,183.56 = 228,275.12/x
  3. Step 3: Cross multiply
    409,602.92x = 565,183.56 × 228,275.12
  4. Step 4: Simplify right side
    409,602.92x = 129,017,344,981.03
  5. Step 5: Solve for x
    x = 129,017,344,981.03/409,602.92
  6. Step 6: Final answer
    x = 314,981.51

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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.