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Finding the Fourth Proportional to 302,227, 417,089.86 and 174,943.60

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Solution

The fourth proportional to 302,227, 417,089.86 and 174,943.60 is: 241,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,227 : 417,089.86 = 174,943.60 : x
  2. Step 2: Convert to fraction form
    302,227/417,089.86 = 174,943.60/x
  3. Step 3: Cross multiply
    302,227x = 417,089.86 × 174,943.60
  4. Step 4: Simplify right side
    302,227x = 72,967,201,631.90
  5. Step 5: Solve for x
    x = 72,967,201,631.90/302,227
  6. Step 6: Final answer
    x = 241,431.78

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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.