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Finding the Fourth Proportional to 409,981.90, 565,775.93 and 228,705.57

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Solution

The fourth proportional to 409,981.90, 565,775.93 and 228,705.57 is: 315,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,981.90 : 565,775.93 = 228,705.57 : x
  2. Step 2: Convert to fraction form
    409,981.90/565,775.93 = 228,705.57/x
  3. Step 3: Cross multiply
    409,981.90x = 565,775.93 × 228,705.57
  4. Step 4: Simplify right side
    409,981.90x = 129,396,104,155.39
  5. Step 5: Solve for x
    x = 129,396,104,155.39/409,981.90
  6. Step 6: Final answer
    x = 315,614.19

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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.