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Finding the Fourth Proportional to 828,334.17, 1,242,362.83 and 229,355.88

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Solution

The fourth proportional to 828,334.17, 1,242,362.83 and 229,355.88 is: 343,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,334.17 : 1,242,362.83 = 229,355.88 : x
  2. Step 2: Convert to fraction form
    828,334.17/1,242,362.83 = 229,355.88/x
  3. Step 3: Cross multiply
    828,334.17x = 1,242,362.83 × 229,355.88
  4. Step 4: Simplify right side
    828,334.17x = 284,943,220,153.94
  5. Step 5: Solve for x
    x = 284,943,220,153.94/828,334.17
  6. Step 6: Final answer
    x = 343,995.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.