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Finding the Fourth Proportional to 295,831.62, 408,247.44 and 159,865.50

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Solution

The fourth proportional to 295,831.62, 408,247.44 and 159,865.50 is: 220,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,831.62 : 408,247.44 = 159,865.50 : x
  2. Step 2: Convert to fraction form
    295,831.62/408,247.44 = 159,865.50/x
  3. Step 3: Cross multiply
    295,831.62x = 408,247.44 × 159,865.50
  4. Step 4: Simplify right side
    295,831.62x = 65,264,681,119.32
  5. Step 5: Solve for x
    x = 65,264,681,119.32/295,831.62
  6. Step 6: Final answer
    x = 220,614.28

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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.