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Finding the Fourth Proportional to 294,424.88, 406,306.33 and 160,288.88

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Solution

The fourth proportional to 294,424.88, 406,306.33 and 160,288.88 is: 221,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,424.88 : 406,306.33 = 160,288.88 : x
  2. Step 2: Convert to fraction form
    294,424.88/406,306.33 = 160,288.88/x
  3. Step 3: Cross multiply
    294,424.88x = 406,306.33 × 160,288.88
  4. Step 4: Simplify right side
    294,424.88x = 65,126,384,140.36
  5. Step 5: Solve for x
    x = 65,126,384,140.36/294,424.88
  6. Step 6: Final answer
    x = 221,198.65

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1.5x scale

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.