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Finding the Fourth Proportional to 375,039.50, 517,563.62 and 213,909.54

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Solution

The fourth proportional to 375,039.50, 517,563.62 and 213,909.54 is: 295,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,039.50 : 517,563.62 = 213,909.54 : x
  2. Step 2: Convert to fraction form
    375,039.50/517,563.62 = 213,909.54/x
  3. Step 3: Cross multiply
    375,039.50x = 517,563.62 × 213,909.54
  4. Step 4: Simplify right side
    375,039.50x = 110,711,793,666.68
  5. Step 5: Solve for x
    x = 110,711,793,666.68/375,039.50
  6. Step 6: Final answer
    x = 295,200.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.