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Finding the Fourth Proportional to 302,702.97, 417,714.66 and 166,733.99

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Solution

The fourth proportional to 302,702.97, 417,714.66 and 166,733.99 is: 230,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,702.97 : 417,714.66 = 166,733.99 : x
  2. Step 2: Convert to fraction form
    302,702.97/417,714.66 = 166,733.99/x
  3. Step 3: Cross multiply
    302,702.97x = 417,714.66 × 166,733.99
  4. Step 4: Simplify right side
    302,702.97x = 69,647,231,943.29
  5. Step 5: Solve for x
    x = 69,647,231,943.29/302,702.97
  6. Step 6: Final answer
    x = 230,084.40

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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.