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Finding the Fourth Proportional to 561,880.50, 842,821.56 and 229,456.50

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Solution

The fourth proportional to 561,880.50, 842,821.56 and 229,456.50 is: 344,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,880.50 : 842,821.56 = 229,456.50 : x
  2. Step 2: Convert to fraction form
    561,880.50/842,821.56 = 229,456.50/x
  3. Step 3: Cross multiply
    561,880.50x = 842,821.56 × 229,456.50
  4. Step 4: Simplify right side
    561,880.50x = 193,390,885,282.14
  5. Step 5: Solve for x
    x = 193,390,885,282.14/561,880.50
  6. Step 6: Final answer
    x = 344,185.08

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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.