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Finding the Fourth Proportional to 409,560.39, 565,196.13 and 228,283.98

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Solution

The fourth proportional to 409,560.39, 565,196.13 and 228,283.98 is: 315,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,560.39 : 565,196.13 = 228,283.98 : x
  2. Step 2: Convert to fraction form
    409,560.39/565,196.13 = 228,283.98/x
  3. Step 3: Cross multiply
    409,560.39x = 565,196.13 × 228,283.98
  4. Step 4: Simplify right side
    409,560.39x = 129,025,222,037.00
  5. Step 5: Solve for x
    x = 129,025,222,037.00/409,560.39
  6. Step 6: Final answer
    x = 315,033.45

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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.