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Finding the Fourth Proportional to 495,854.34, 684,273.87 and 269,498.22

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Solution

The fourth proportional to 495,854.34, 684,273.87 and 269,498.22 is: 371,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,854.34 : 684,273.87 = 269,498.22 : x
  2. Step 2: Convert to fraction form
    495,854.34/684,273.87 = 269,498.22/x
  3. Step 3: Cross multiply
    495,854.34x = 684,273.87 × 269,498.22
  4. Step 4: Simplify right side
    495,854.34x = 184,410,589,957.51
  5. Step 5: Solve for x
    x = 184,410,589,957.51/495,854.34
  6. Step 6: Final answer
    x = 371,904.76

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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.