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Finding the Fourth Proportional to 417,573, 626,052.78 and 133,099.77

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Solution

The fourth proportional to 417,573, 626,052.78 and 133,099.77 is: 199,551.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,573 : 626,052.78 = 133,099.77 : x
  2. Step 2: Convert to fraction form
    417,573/626,052.78 = 133,099.77/x
  3. Step 3: Cross multiply
    417,573x = 626,052.78 × 133,099.77
  4. Step 4: Simplify right side
    417,573x = 83,327,481,025.86
  5. Step 5: Solve for x
    x = 83,327,481,025.86/417,573
  6. Step 6: Final answer
    x = 199,551.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.