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Finding the Fourth Proportional to 302,233.32, 417,096 and 174,884.28

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Solution

The fourth proportional to 302,233.32, 417,096 and 174,884.28 is: 241,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,233.32 : 417,096 = 174,884.28 : x
  2. Step 2: Convert to fraction form
    302,233.32/417,096 = 174,884.28/x
  3. Step 3: Cross multiply
    302,233.32x = 417,096 × 174,884.28
  4. Step 4: Simplify right side
    302,233.32x = 72,943,533,650.88
  5. Step 5: Solve for x
    x = 72,943,533,650.88/302,233.32
  6. Step 6: Final answer
    x = 241,348.42

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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.