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Finding the Fourth Proportional to 409,935.36, 614,976.96 and 185,401.92

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Solution

The fourth proportional to 409,935.36, 614,976.96 and 185,401.92 is: 278,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,935.36 : 614,976.96 = 185,401.92 : x
  2. Step 2: Convert to fraction form
    409,935.36/614,976.96 = 185,401.92/x
  3. Step 3: Cross multiply
    409,935.36x = 614,976.96 × 185,401.92
  4. Step 4: Simplify right side
    409,935.36x = 114,017,909,139.76
  5. Step 5: Solve for x
    x = 114,017,909,139.76/409,935.36
  6. Step 6: Final answer
    x = 278,136.31

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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.