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Finding the Fourth Proportional to 561,808.58, 842,647.23 and 224,835.62

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Solution

The fourth proportional to 561,808.58, 842,647.23 and 224,835.62 is: 337,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,808.58 : 842,647.23 = 224,835.62 : x
  2. Step 2: Convert to fraction form
    561,808.58/842,647.23 = 224,835.62/x
  3. Step 3: Cross multiply
    561,808.58x = 842,647.23 × 224,835.62
  4. Step 4: Simplify right side
    561,808.58x = 189,457,112,398.33
  5. Step 5: Solve for x
    x = 189,457,112,398.33/561,808.58
  6. Step 6: Final answer
    x = 337,227.16

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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.