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Finding the Fourth Proportional to 409,946.40, 614,773.80 and 185,414.40

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Solution

The fourth proportional to 409,946.40, 614,773.80 and 185,414.40 is: 278,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,946.40 : 614,773.80 = 185,414.40 : x
  2. Step 2: Convert to fraction form
    409,946.40/614,773.80 = 185,414.40/x
  3. Step 3: Cross multiply
    409,946.40x = 614,773.80 × 185,414.40
  4. Step 4: Simplify right side
    409,946.40x = 113,987,915,262.72
  5. Step 5: Solve for x
    x = 113,987,915,262.72/409,946.40
  6. Step 6: Final answer
    x = 278,055.66

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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.