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Finding the Fourth Proportional to 453,873.40, 680,494.74 and 201,016.12

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Solution

The fourth proportional to 453,873.40, 680,494.74 and 201,016.12 is: 301,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,873.40 : 680,494.74 = 201,016.12 : x
  2. Step 2: Convert to fraction form
    453,873.40/680,494.74 = 201,016.12/x
  3. Step 3: Cross multiply
    453,873.40x = 680,494.74 × 201,016.12
  4. Step 4: Simplify right side
    453,873.40x = 136,790,412,315.21
  5. Step 5: Solve for x
    x = 136,790,412,315.21/453,873.40
  6. Step 6: Final answer
    x = 301,384.51

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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.