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Finding the Fourth Proportional to 328,142.40, 452,845.92 and 184,894.56

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Solution

The fourth proportional to 328,142.40, 452,845.92 and 184,894.56 is: 255,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,142.40 : 452,845.92 = 184,894.56 : x
  2. Step 2: Convert to fraction form
    328,142.40/452,845.92 = 184,894.56/x
  3. Step 3: Cross multiply
    328,142.40x = 452,845.92 × 184,894.56
  4. Step 4: Simplify right side
    328,142.40x = 83,728,747,126.20
  5. Step 5: Solve for x
    x = 83,728,747,126.20/328,142.40
  6. Step 6: Final answer
    x = 255,159.79

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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.