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Finding the Fourth Proportional to 418,977.03, 578,200.46 and 228,002.73

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Solution

The fourth proportional to 418,977.03, 578,200.46 and 228,002.73 is: 314,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,977.03 : 578,200.46 = 228,002.73 : x
  2. Step 2: Convert to fraction form
    418,977.03/578,200.46 = 228,002.73/x
  3. Step 3: Cross multiply
    418,977.03x = 578,200.46 × 228,002.73
  4. Step 4: Simplify right side
    418,977.03x = 131,831,282,227.24
  5. Step 5: Solve for x
    x = 131,831,282,227.24/418,977.03
  6. Step 6: Final answer
    x = 314,650.38

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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.