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Finding the Fourth Proportional to 495,751.72, 684,141.54 and 269,397.16

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Solution

The fourth proportional to 495,751.72, 684,141.54 and 269,397.16 is: 371,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,751.72 : 684,141.54 = 269,397.16 : x
  2. Step 2: Convert to fraction form
    495,751.72/684,141.54 = 269,397.16/x
  3. Step 3: Cross multiply
    495,751.72x = 684,141.54 × 269,397.16
  4. Step 4: Simplify right side
    495,751.72x = 184,305,787,914.03
  5. Step 5: Solve for x
    x = 184,305,787,914.03/495,751.72
  6. Step 6: Final answer
    x = 371,770.34

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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.