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Finding the Fourth Proportional to 375,274.80, 562,912.20 and 188,218.80

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Solution

The fourth proportional to 375,274.80, 562,912.20 and 188,218.80 is: 282,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,274.80 : 562,912.20 = 188,218.80 : x
  2. Step 2: Convert to fraction form
    375,274.80/562,912.20 = 188,218.80/x
  3. Step 3: Cross multiply
    375,274.80x = 562,912.20 × 188,218.80
  4. Step 4: Simplify right side
    375,274.80x = 105,950,658,789.36
  5. Step 5: Solve for x
    x = 105,950,658,789.36/375,274.80
  6. Step 6: Final answer
    x = 282,328.20

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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.