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Finding the Fourth Proportional to 327,817.92, 452,351.28 and 184,574.28

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Solution

The fourth proportional to 327,817.92, 452,351.28 and 184,574.28 is: 254,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,817.92 : 452,351.28 = 184,574.28 : x
  2. Step 2: Convert to fraction form
    327,817.92/452,351.28 = 184,574.28/x
  3. Step 3: Cross multiply
    327,817.92x = 452,351.28 × 184,574.28
  4. Step 4: Simplify right side
    327,817.92x = 83,492,411,813.08
  5. Step 5: Solve for x
    x = 83,492,411,813.08/327,817.92
  6. Step 6: Final answer
    x = 254,691.42

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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.