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Finding the Fourth Proportional to 374,770.64, 517,196.28 and 213,649.52

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Solution

The fourth proportional to 374,770.64, 517,196.28 and 213,649.52 is: 294,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,770.64 : 517,196.28 = 213,649.52 : x
  2. Step 2: Convert to fraction form
    374,770.64/517,196.28 = 213,649.52/x
  3. Step 3: Cross multiply
    374,770.64x = 517,196.28 × 213,649.52
  4. Step 4: Simplify right side
    374,770.64x = 110,498,736,967.79
  5. Step 5: Solve for x
    x = 110,498,736,967.79/374,770.64
  6. Step 6: Final answer
    x = 294,843.63

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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.