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Finding the Fourth Proportional to 289,716.64, 399,827.44 and 162,392.26

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Solution

The fourth proportional to 289,716.64, 399,827.44 and 162,392.26 is: 224,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,716.64 : 399,827.44 = 162,392.26 : x
  2. Step 2: Convert to fraction form
    289,716.64/399,827.44 = 162,392.26/x
  3. Step 3: Cross multiply
    289,716.64x = 399,827.44 × 162,392.26
  4. Step 4: Simplify right side
    289,716.64x = 64,928,881,591.61
  5. Step 5: Solve for x
    x = 64,928,881,591.61/289,716.64
  6. Step 6: Final answer
    x = 224,111.68

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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.