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Finding the Fourth Proportional to 294,638.52, 406,601.26 and 160,502.52

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Solution

The fourth proportional to 294,638.52, 406,601.26 and 160,502.52 is: 221,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,638.52 : 406,601.26 = 160,502.52 : x
  2. Step 2: Convert to fraction form
    294,638.52/406,601.26 = 160,502.52/x
  3. Step 3: Cross multiply
    294,638.52x = 406,601.26 × 160,502.52
  4. Step 4: Simplify right side
    294,638.52x = 65,260,526,865.18
  5. Step 5: Solve for x
    x = 65,260,526,865.18/294,638.52
  6. Step 6: Final answer
    x = 221,493.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.