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Finding the Fourth Proportional to 468,101.86, 645,976.92 and 253,241.26

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Solution

The fourth proportional to 468,101.86, 645,976.92 and 253,241.26 is: 349,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,101.86 : 645,976.92 = 253,241.26 : x
  2. Step 2: Convert to fraction form
    468,101.86/645,976.92 = 253,241.26/x
  3. Step 3: Cross multiply
    468,101.86x = 645,976.92 × 253,241.26
  4. Step 4: Simplify right side
    468,101.86x = 163,588,009,151.72
  5. Step 5: Solve for x
    x = 163,588,009,151.72/468,101.86
  6. Step 6: Final answer
    x = 349,470.97

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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.