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Finding the Fourth Proportional to 398,960.40, 597,923.54 and 162,027.84

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Solution

The fourth proportional to 398,960.40, 597,923.54 and 162,027.84 is: 242,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,960.40 : 597,923.54 = 162,027.84 : x
  2. Step 2: Convert to fraction form
    398,960.40/597,923.54 = 162,027.84/x
  3. Step 3: Cross multiply
    398,960.40x = 597,923.54 × 162,027.84
  4. Step 4: Simplify right side
    398,960.40x = 96,880,256,681.74
  5. Step 5: Solve for x
    x = 96,880,256,681.74/398,960.40
  6. Step 6: Final answer
    x = 242,831.76

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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.