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Finding the Fourth Proportional to 495,770.77, 684,163.65 and 269,416.27

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Solution

The fourth proportional to 495,770.77, 684,163.65 and 269,416.27 is: 371,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,770.77 : 684,163.65 = 269,416.27 : x
  2. Step 2: Convert to fraction form
    495,770.77/684,163.65 = 269,416.27/x
  3. Step 3: Cross multiply
    495,770.77x = 684,163.65 × 269,416.27
  4. Step 4: Simplify right side
    495,770.77x = 184,324,818,652.59
  5. Step 5: Solve for x
    x = 184,324,818,652.59/495,770.77
  6. Step 6: Final answer
    x = 371,794.45

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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.