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Finding the Fourth Proportional to 410,199.84, 566,074.65 and 228,909.84

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Solution

The fourth proportional to 410,199.84, 566,074.65 and 228,909.84 is: 315,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,199.84 : 566,074.65 = 228,909.84 : x
  2. Step 2: Convert to fraction form
    410,199.84/566,074.65 = 228,909.84/x
  3. Step 3: Cross multiply
    410,199.84x = 566,074.65 × 228,909.84
  4. Step 4: Simplify right side
    410,199.84x = 129,580,057,559.56
  5. Step 5: Solve for x
    x = 129,580,057,559.56/410,199.84
  6. Step 6: Final answer
    x = 315,894.95

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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.