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Finding the Fourth Proportional to 402,636.24, 604,052.98 and 200,327.81

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Solution

The fourth proportional to 402,636.24, 604,052.98 and 200,327.81 is: 300,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,636.24 : 604,052.98 = 200,327.81 : x
  2. Step 2: Convert to fraction form
    402,636.24/604,052.98 = 200,327.81/x
  3. Step 3: Cross multiply
    402,636.24x = 604,052.98 × 200,327.81
  4. Step 4: Simplify right side
    402,636.24x = 121,008,607,086.29
  5. Step 5: Solve for x
    x = 121,008,607,086.29/402,636.24
  6. Step 6: Final answer
    x = 300,540.77

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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.