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Finding the Fourth Proportional to 277,359.81, 382,734.77 and 156,530.49

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Solution

The fourth proportional to 277,359.81, 382,734.77 and 156,530.49 is: 215,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,359.81 : 382,734.77 = 156,530.49 : x
  2. Step 2: Convert to fraction form
    277,359.81/382,734.77 = 156,530.49/x
  3. Step 3: Cross multiply
    277,359.81x = 382,734.77 × 156,530.49
  4. Step 4: Simplify right side
    277,359.81x = 59,909,660,305.48
  5. Step 5: Solve for x
    x = 59,909,660,305.48/277,359.81
  6. Step 6: Final answer
    x = 215,999.79

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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.