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Finding the Fourth Proportional to 495,690.64, 684,057.22 and 269,336.14

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Solution

The fourth proportional to 495,690.64, 684,057.22 and 269,336.14 is: 371,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,690.64 : 684,057.22 = 269,336.14 : x
  2. Step 2: Convert to fraction form
    495,690.64/684,057.22 = 269,336.14/x
  3. Step 3: Cross multiply
    495,690.64x = 684,057.22 × 269,336.14
  4. Step 4: Simplify right side
    495,690.64x = 184,241,328,790.45
  5. Step 5: Solve for x
    x = 184,241,328,790.45/495,690.64
  6. Step 6: Final answer
    x = 371,686.12

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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.