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Finding the Fourth Proportional to 410,777.93, 616,073.74 and 185,989.97

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Solution

The fourth proportional to 410,777.93, 616,073.74 and 185,989.97 is: 278,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,777.93 : 616,073.74 = 185,989.97 : x
  2. Step 2: Convert to fraction form
    410,777.93/616,073.74 = 185,989.97/x
  3. Step 3: Cross multiply
    410,777.93x = 616,073.74 × 185,989.97
  4. Step 4: Simplify right side
    410,777.93x = 114,583,532,875.04
  5. Step 5: Solve for x
    x = 114,583,532,875.04/410,777.93
  6. Step 6: Final answer
    x = 278,942.77

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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.