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Finding the Fourth Proportional to 334,952.61, 462,118.26 and 214,164.60

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Solution

The fourth proportional to 334,952.61, 462,118.26 and 214,164.60 is: 295,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,952.61 : 462,118.26 = 214,164.60 : x
  2. Step 2: Convert to fraction form
    334,952.61/462,118.26 = 214,164.60/x
  3. Step 3: Cross multiply
    334,952.61x = 462,118.26 × 214,164.60
  4. Step 4: Simplify right side
    334,952.61x = 98,969,372,305.60
  5. Step 5: Solve for x
    x = 98,969,372,305.60/334,952.61
  6. Step 6: Final answer
    x = 295,472.76

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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.