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Finding the Fourth Proportional to 393,825.66, 590,831.61 and 127,585.74

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Solution

The fourth proportional to 393,825.66, 590,831.61 and 127,585.74 is: 191,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,825.66 : 590,831.61 = 127,585.74 : x
  2. Step 2: Convert to fraction form
    393,825.66/590,831.61 = 127,585.74/x
  3. Step 3: Cross multiply
    393,825.66x = 590,831.61 × 127,585.74
  4. Step 4: Simplify right side
    393,825.66x = 75,381,688,177.24
  5. Step 5: Solve for x
    x = 75,381,688,177.24/393,825.66
  6. Step 6: Final answer
    x = 191,408.78

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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.