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Finding the Fourth Proportional to 410,129.66, 565,965.63 and 223,853.96

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Solution

The fourth proportional to 410,129.66, 565,965.63 and 223,853.96 is: 308,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,129.66 : 565,965.63 = 223,853.96 : x
  2. Step 2: Convert to fraction form
    410,129.66/565,965.63 = 223,853.96/x
  3. Step 3: Cross multiply
    410,129.66x = 565,965.63 × 223,853.96
  4. Step 4: Simplify right side
    410,129.66x = 126,693,648,914.31
  5. Step 5: Solve for x
    x = 126,693,648,914.31/410,129.66
  6. Step 6: Final answer
    x = 308,911.21

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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.