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Finding the Fourth Proportional to 495,701.76, 684,072.60 and 269,347.24

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Solution

The fourth proportional to 495,701.76, 684,072.60 and 269,347.24 is: 371,701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,701.76 : 684,072.60 = 269,347.24 : x
  2. Step 2: Convert to fraction form
    495,701.76/684,072.60 = 269,347.24/x
  3. Step 3: Cross multiply
    495,701.76x = 684,072.60 × 269,347.24
  4. Step 4: Simplify right side
    495,701.76x = 184,253,066,769.62
  5. Step 5: Solve for x
    x = 184,253,066,769.62/495,701.76
  6. Step 6: Final answer
    x = 371,701.46

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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.