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Finding the Fourth Proportional to 458,831.64, 633,170.06 and 254,895.38

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Solution

The fourth proportional to 458,831.64, 633,170.06 and 254,895.38 is: 351,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,831.64 : 633,170.06 = 254,895.38 : x
  2. Step 2: Convert to fraction form
    458,831.64/633,170.06 = 254,895.38/x
  3. Step 3: Cross multiply
    458,831.64x = 633,170.06 × 254,895.38
  4. Step 4: Simplify right side
    458,831.64x = 161,392,123,048.32
  5. Step 5: Solve for x
    x = 161,392,123,048.32/458,831.64
  6. Step 6: Final answer
    x = 351,745.85

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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.