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Finding the Fourth Proportional to 301,905.60, 416,669.13 and 194,787.24

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Solution

The fourth proportional to 301,905.60, 416,669.13 and 194,787.24 is: 268,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,905.60 : 416,669.13 = 194,787.24 : x
  2. Step 2: Convert to fraction form
    301,905.60/416,669.13 = 194,787.24/x
  3. Step 3: Cross multiply
    301,905.60x = 416,669.13 × 194,787.24
  4. Step 4: Simplify right side
    301,905.60x = 81,161,829,825.90
  5. Step 5: Solve for x
    x = 81,161,829,825.90/301,905.60
  6. Step 6: Final answer
    x = 268,831.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.