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Finding the Fourth Proportional to 653,364.82, 980,011.99 and 204,034.13

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Solution

The fourth proportional to 653,364.82, 980,011.99 and 204,034.13 is: 306,040.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,364.82 : 980,011.99 = 204,034.13 : x
  2. Step 2: Convert to fraction form
    653,364.82/980,011.99 = 204,034.13/x
  3. Step 3: Cross multiply
    653,364.82x = 980,011.99 × 204,034.13
  4. Step 4: Simplify right side
    653,364.82x = 199,955,893,769.22
  5. Step 5: Solve for x
    x = 199,955,893,769.22/653,364.82
  6. Step 6: Final answer
    x = 306,040.19

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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.