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Finding the Fourth Proportional to 495,708.61, 684,082.21 and 269,354.11

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Solution

The fourth proportional to 495,708.61, 684,082.21 and 269,354.11 is: 371,711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,708.61 : 684,082.21 = 269,354.11 : x
  2. Step 2: Convert to fraction form
    495,708.61/684,082.21 = 269,354.11/x
  3. Step 3: Cross multiply
    495,708.61x = 684,082.21 × 269,354.11
  4. Step 4: Simplify right side
    495,708.61x = 184,260,354,245.49
  5. Step 5: Solve for x
    x = 184,260,354,245.49/495,708.61
  6. Step 6: Final answer
    x = 371,711.02

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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.