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Finding the Fourth Proportional to 362,831.91, 500,714.01 and 199,495.32

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Solution

The fourth proportional to 362,831.91, 500,714.01 and 199,495.32 is: 275,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,831.91 : 500,714.01 = 199,495.32 : x
  2. Step 2: Convert to fraction form
    362,831.91/500,714.01 = 199,495.32/x
  3. Step 3: Cross multiply
    362,831.91x = 500,714.01 × 199,495.32
  4. Step 4: Simplify right side
    362,831.91x = 99,890,101,653.43
  5. Step 5: Solve for x
    x = 99,890,101,653.43/362,831.91
  6. Step 6: Final answer
    x = 275,306.83

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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.