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Finding the Fourth Proportional to 306,701.74, 460,017.43 and 82,079.68

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Solution

The fourth proportional to 306,701.74, 460,017.43 and 82,079.68 is: 123,110.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,701.74 : 460,017.43 = 82,079.68 : x
  2. Step 2: Convert to fraction form
    306,701.74/460,017.43 = 82,079.68/x
  3. Step 3: Cross multiply
    306,701.74x = 460,017.43 × 82,079.68
  4. Step 4: Simplify right side
    306,701.74x = 37,758,082,956.11
  5. Step 5: Solve for x
    x = 37,758,082,956.11/306,701.74
  6. Step 6: Final answer
    x = 123,110.10

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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.