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Finding the Fourth Proportional to 442,164.64, 610,014 and 272,103.52

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Solution

The fourth proportional to 442,164.64, 610,014 and 272,103.52 is: 375,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,164.64 : 610,014 = 272,103.52 : x
  2. Step 2: Convert to fraction form
    442,164.64/610,014 = 272,103.52/x
  3. Step 3: Cross multiply
    442,164.64x = 610,014 × 272,103.52
  4. Step 4: Simplify right side
    442,164.64x = 165,986,956,649.28
  5. Step 5: Solve for x
    x = 165,986,956,649.28/442,164.64
  6. Step 6: Final answer
    x = 375,396.27

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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.