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Finding the Fourth Proportional to 306,805.40, 460,239.52 and 117,425.04

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Solution

The fourth proportional to 306,805.40, 460,239.52 and 117,425.04 is: 176,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,805.40 : 460,239.52 = 117,425.04 : x
  2. Step 2: Convert to fraction form
    306,805.40/460,239.52 = 117,425.04/x
  3. Step 3: Cross multiply
    306,805.40x = 460,239.52 × 117,425.04
  4. Step 4: Simplify right side
    306,805.40x = 54,043,644,045.58
  5. Step 5: Solve for x
    x = 54,043,644,045.58/306,805.40
  6. Step 6: Final answer
    x = 176,149.59

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Why These Related Problems?

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