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Finding the Fourth Proportional to 300,543.04, 414,655.50 and 173,201.32

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Solution

The fourth proportional to 300,543.04, 414,655.50 and 173,201.32 is: 238,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,543.04 : 414,655.50 = 173,201.32 : x
  2. Step 2: Convert to fraction form
    300,543.04/414,655.50 = 173,201.32/x
  3. Step 3: Cross multiply
    300,543.04x = 414,655.50 × 173,201.32
  4. Step 4: Simplify right side
    300,543.04x = 71,818,879,945.26
  5. Step 5: Solve for x
    x = 71,818,879,945.26/300,543.04
  6. Step 6: Final answer
    x = 238,963.71

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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.