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Finding the Fourth Proportional to 362,831.41, 500,713.32 and 199,494.82

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Solution

The fourth proportional to 362,831.41, 500,713.32 and 199,494.82 is: 275,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,831.41 : 500,713.32 = 199,494.82 : x
  2. Step 2: Convert to fraction form
    362,831.41/500,713.32 = 199,494.82/x
  3. Step 3: Cross multiply
    362,831.41x = 500,713.32 × 199,494.82
  4. Step 4: Simplify right side
    362,831.41x = 99,889,713,645.00
  5. Step 5: Solve for x
    x = 99,889,713,645.00/362,831.41
  6. Step 6: Final answer
    x = 275,306.14

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1.5x scale

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.