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Finding the Fourth Proportional to 409,851.45, 565,593.89 and 228,563.58

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Solution

The fourth proportional to 409,851.45, 565,593.89 and 228,563.58 is: 315,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,851.45 : 565,593.89 = 228,563.58 : x
  2. Step 2: Convert to fraction form
    409,851.45/565,593.89 = 228,563.58/x
  3. Step 3: Cross multiply
    409,851.45x = 565,593.89 × 228,563.58
  4. Step 4: Simplify right side
    409,851.45x = 129,274,163,181.71
  5. Step 5: Solve for x
    x = 129,274,163,181.71/409,851.45
  6. Step 6: Final answer
    x = 315,417.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.