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Finding the Fourth Proportional to 453,565.35, 680,501.75 and 200,810.97

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Solution

The fourth proportional to 453,565.35, 680,501.75 and 200,810.97 is: 301,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,565.35 : 680,501.75 = 200,810.97 : x
  2. Step 2: Convert to fraction form
    453,565.35/680,501.75 = 200,810.97/x
  3. Step 3: Cross multiply
    453,565.35x = 680,501.75 × 200,810.97
  4. Step 4: Simplify right side
    453,565.35x = 136,652,215,500.14
  5. Step 5: Solve for x
    x = 136,652,215,500.14/453,565.35
  6. Step 6: Final answer
    x = 301,284.51

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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.