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Finding the Fourth Proportional to 459,874.64, 694,131.17 and 459,874.64

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Solution

The fourth proportional to 459,874.64, 694,131.17 and 459,874.64 is: 694,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,874.64 : 694,131.17 = 459,874.64 : x
  2. Step 2: Convert to fraction form
    459,874.64/694,131.17 = 459,874.64/x
  3. Step 3: Cross multiply
    459,874.64x = 694,131.17 × 459,874.64
  4. Step 4: Simplify right side
    459,874.64x = 319,213,321,916.53
  5. Step 5: Solve for x
    x = 319,213,321,916.53/459,874.64
  6. Step 6: Final answer
    x = 694,131.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.