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Finding the Fourth Proportional to 233,998.20, 351,007.02 and 194,831.46

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Solution

The fourth proportional to 233,998.20, 351,007.02 and 194,831.46 is: 292,255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,998.20 : 351,007.02 = 194,831.46 : x
  2. Step 2: Convert to fraction form
    233,998.20/351,007.02 = 194,831.46/x
  3. Step 3: Cross multiply
    233,998.20x = 351,007.02 × 194,831.46
  4. Step 4: Simplify right side
    233,998.20x = 68,387,210,176.85
  5. Step 5: Solve for x
    x = 68,387,210,176.85/233,998.20
  6. Step 6: Final answer
    x = 292,255.28

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1.5x scale

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.