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Finding the Fourth Proportional to 458,831.98, 633,289.41 and 254,953

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Solution

The fourth proportional to 458,831.98, 633,289.41 and 254,953 is: 351,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,831.98 : 633,289.41 = 254,953 : x
  2. Step 2: Convert to fraction form
    458,831.98/633,289.41 = 254,953/x
  3. Step 3: Cross multiply
    458,831.98x = 633,289.41 × 254,953
  4. Step 4: Simplify right side
    458,831.98x = 161,459,034,947.73
  5. Step 5: Solve for x
    x = 161,459,034,947.73/458,831.98
  6. Step 6: Final answer
    x = 351,891.42

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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.