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Finding the Fourth Proportional to 364,702.92, 548,016.54 and 196,347.72

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Solution

The fourth proportional to 364,702.92, 548,016.54 and 196,347.72 is: 295,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,702.92 : 548,016.54 = 196,347.72 : x
  2. Step 2: Convert to fraction form
    364,702.92/548,016.54 = 196,347.72/x
  3. Step 3: Cross multiply
    364,702.92x = 548,016.54 × 196,347.72
  4. Step 4: Simplify right side
    364,702.92x = 107,601,798,151.29
  5. Step 5: Solve for x
    x = 107,601,798,151.29/364,702.92
  6. Step 6: Final answer
    x = 295,039.58

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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.