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Finding the Fourth Proportional to 294,776.40, 407,100.22 and 203,133.96

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Solution

The fourth proportional to 294,776.40, 407,100.22 and 203,133.96 is: 280,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,776.40 : 407,100.22 = 203,133.96 : x
  2. Step 2: Convert to fraction form
    294,776.40/407,100.22 = 203,133.96/x
  3. Step 3: Cross multiply
    294,776.40x = 407,100.22 × 203,133.96
  4. Step 4: Simplify right side
    294,776.40x = 82,695,879,805.47
  5. Step 5: Solve for x
    x = 82,695,879,805.47/294,776.40
  6. Step 6: Final answer
    x = 280,537.65

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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.