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Finding the Fourth Proportional to 356,831.92, 492,434.81 and 195,676.75

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Solution

The fourth proportional to 356,831.92, 492,434.81 and 195,676.75 is: 270,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,831.92 : 492,434.81 = 195,676.75 : x
  2. Step 2: Convert to fraction form
    356,831.92/492,434.81 = 195,676.75/x
  3. Step 3: Cross multiply
    356,831.92x = 492,434.81 × 195,676.75
  4. Step 4: Simplify right side
    356,831.92x = 96,358,043,207.67
  5. Step 5: Solve for x
    x = 96,358,043,207.67/356,831.92
  6. Step 6: Final answer
    x = 270,037.62

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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.