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Finding the Fourth Proportional to 409,895.80, 565,657.20 and 228,619.47

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Solution

The fourth proportional to 409,895.80, 565,657.20 and 228,619.47 is: 315,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,895.80 : 565,657.20 = 228,619.47 : x
  2. Step 2: Convert to fraction form
    409,895.80/565,657.20 = 228,619.47/x
  3. Step 3: Cross multiply
    409,895.80x = 565,657.20 × 228,619.47
  4. Step 4: Simplify right side
    409,895.80x = 129,320,249,265.68
  5. Step 5: Solve for x
    x = 129,320,249,265.68/409,895.80
  6. Step 6: Final answer
    x = 315,495.42

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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.