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Finding the Fourth Proportional to 410,012.84, 565,822.14 and 228,723.32

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Solution

The fourth proportional to 410,012.84, 565,822.14 and 228,723.32 is: 315,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,012.84 : 565,822.14 = 228,723.32 : x
  2. Step 2: Convert to fraction form
    410,012.84/565,822.14 = 228,723.32/x
  3. Step 3: Cross multiply
    410,012.84x = 565,822.14 × 228,723.32
  4. Step 4: Simplify right side
    410,012.84x = 129,416,718,390.31
  5. Step 5: Solve for x
    x = 129,416,718,390.31/410,012.84
  6. Step 6: Final answer
    x = 315,640.65

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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.