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Finding the Fourth Proportional to 508,730.67, 763,204.01 and 193,180.59

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Solution

The fourth proportional to 508,730.67, 763,204.01 and 193,180.59 is: 289,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,730.67 : 763,204.01 = 193,180.59 : x
  2. Step 2: Convert to fraction form
    508,730.67/763,204.01 = 193,180.59/x
  3. Step 3: Cross multiply
    508,730.67x = 763,204.01 × 193,180.59
  4. Step 4: Simplify right side
    508,730.67x = 147,436,199,976.26
  5. Step 5: Solve for x
    x = 147,436,199,976.26/508,730.67
  6. Step 6: Final answer
    x = 289,811.90

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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.