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Finding the Fourth Proportional to 295,688.42, 408,050.17 and 159,722.36

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Solution

The fourth proportional to 295,688.42, 408,050.17 and 159,722.36 is: 220,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,688.42 : 408,050.17 = 159,722.36 : x
  2. Step 2: Convert to fraction form
    295,688.42/408,050.17 = 159,722.36/x
  3. Step 3: Cross multiply
    295,688.42x = 408,050.17 × 159,722.36
  4. Step 4: Simplify right side
    295,688.42x = 65,174,735,241.43
  5. Step 5: Solve for x
    x = 65,174,735,241.43/295,688.42
  6. Step 6: Final answer
    x = 220,416.94

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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.