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Finding the Fourth Proportional to 409,772.68, 565,483.98 and 228,486.78

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Solution

The fourth proportional to 409,772.68, 565,483.98 and 228,486.78 is: 315,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,772.68 : 565,483.98 = 228,486.78 : x
  2. Step 2: Convert to fraction form
    409,772.68/565,483.98 = 228,486.78/x
  3. Step 3: Cross multiply
    409,772.68x = 565,483.98 × 228,486.78
  4. Step 4: Simplify right side
    409,772.68x = 129,205,613,731.78
  5. Step 5: Solve for x
    x = 129,205,613,731.78/409,772.68
  6. Step 6: Final answer
    x = 315,310.46

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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.