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Finding the Fourth Proportional to 364,322.94, 502,827.12 and 269,105.82

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Solution

The fourth proportional to 364,322.94, 502,827.12 and 269,105.82 is: 371,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,322.94 : 502,827.12 = 269,105.82 : x
  2. Step 2: Convert to fraction form
    364,322.94/502,827.12 = 269,105.82/x
  3. Step 3: Cross multiply
    364,322.94x = 502,827.12 × 269,105.82
  4. Step 4: Simplify right side
    364,322.94x = 135,313,704,445.84
  5. Step 5: Solve for x
    x = 135,313,704,445.84/364,322.94
  6. Step 6: Final answer
    x = 371,411.43

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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.