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Finding the Fourth Proportional to 310,896.42, 465,379.27 and 168,387.74

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Solution

The fourth proportional to 310,896.42, 465,379.27 and 168,387.74 is: 252,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,896.42 : 465,379.27 = 168,387.74 : x
  2. Step 2: Convert to fraction form
    310,896.42/465,379.27 = 168,387.74/x
  3. Step 3: Cross multiply
    310,896.42x = 465,379.27 × 168,387.74
  4. Step 4: Simplify right side
    310,896.42x = 78,364,166,080.40
  5. Step 5: Solve for x
    x = 78,364,166,080.40/310,896.42
  6. Step 6: Final answer
    x = 252,058.76

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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.