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Finding the Fourth Proportional to 495,679.74, 684,042.21 and 269,325.24

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Solution

The fourth proportional to 495,679.74, 684,042.21 and 269,325.24 is: 371,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,679.74 : 684,042.21 = 269,325.24 : x
  2. Step 2: Convert to fraction form
    495,679.74/684,042.21 = 269,325.24/x
  3. Step 3: Cross multiply
    495,679.74x = 684,042.21 × 269,325.24
  4. Step 4: Simplify right side
    495,679.74x = 184,229,832,378.38
  5. Step 5: Solve for x
    x = 184,229,832,378.38/495,679.74
  6. Step 6: Final answer
    x = 371,671.10

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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.