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Finding the Fourth Proportional to 306,956.44, 460,497.30 and 129,463.12

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Solution

The fourth proportional to 306,956.44, 460,497.30 and 129,463.12 is: 194,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,956.44 : 460,497.30 = 129,463.12 : x
  2. Step 2: Convert to fraction form
    306,956.44/460,497.30 = 129,463.12/x
  3. Step 3: Cross multiply
    306,956.44x = 460,497.30 × 129,463.12
  4. Step 4: Simplify right side
    306,956.44x = 59,617,417,209.58
  5. Step 5: Solve for x
    x = 59,617,417,209.58/306,956.44
  6. Step 6: Final answer
    x = 194,221.10

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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.