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Finding the Fourth Proportional to 322,304.23, 444,753.76 and 186,346.90

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Solution

The fourth proportional to 322,304.23, 444,753.76 and 186,346.90 is: 257,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,304.23 : 444,753.76 = 186,346.90 : x
  2. Step 2: Convert to fraction form
    322,304.23/444,753.76 = 186,346.90/x
  3. Step 3: Cross multiply
    322,304.23x = 444,753.76 × 186,346.90
  4. Step 4: Simplify right side
    322,304.23x = 82,878,484,439.34
  5. Step 5: Solve for x
    x = 82,878,484,439.34/322,304.23
  6. Step 6: Final answer
    x = 257,143.64

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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.