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Finding the Fourth Proportional to 294,394.50, 406,264.41 and 160,258.50

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Solution

The fourth proportional to 294,394.50, 406,264.41 and 160,258.50 is: 221,156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,394.50 : 406,264.41 = 160,258.50 : x
  2. Step 2: Convert to fraction form
    294,394.50/406,264.41 = 160,258.50/x
  3. Step 3: Cross multiply
    294,394.50x = 406,264.41 × 160,258.50
  4. Step 4: Simplify right side
    294,394.50x = 65,107,324,949.99
  5. Step 5: Solve for x
    x = 65,107,324,949.99/294,394.50
  6. Step 6: Final answer
    x = 221,156.73

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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.