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Finding the Fourth Proportional to 320,838.96, 442,856.40 and 184,963.68

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Solution

The fourth proportional to 320,838.96, 442,856.40 and 184,963.68 is: 255,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,838.96 : 442,856.40 = 184,963.68 : x
  2. Step 2: Convert to fraction form
    320,838.96/442,856.40 = 184,963.68/x
  3. Step 3: Cross multiply
    320,838.96x = 442,856.40 × 184,963.68
  4. Step 4: Simplify right side
    320,838.96x = 81,912,349,455.55
  5. Step 5: Solve for x
    x = 81,912,349,455.55/320,838.96
  6. Step 6: Final answer
    x = 255,306.74

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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.