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Finding the Fourth Proportional to 561,883.50, 842,826.06 and 229,459.50

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Solution

The fourth proportional to 561,883.50, 842,826.06 and 229,459.50 is: 344,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,883.50 : 842,826.06 = 229,459.50 : x
  2. Step 2: Convert to fraction form
    561,883.50/842,826.06 = 229,459.50/x
  3. Step 3: Cross multiply
    561,883.50x = 842,826.06 × 229,459.50
  4. Step 4: Simplify right side
    561,883.50x = 193,394,446,314.57
  5. Step 5: Solve for x
    x = 193,394,446,314.57/561,883.50
  6. Step 6: Final answer
    x = 344,189.58

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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.