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Finding the Fourth Proportional to 320,843.96, 442,775.10 and 184,867.36

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Solution

The fourth proportional to 320,843.96, 442,775.10 and 184,867.36 is: 255,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,843.96 : 442,775.10 = 184,867.36 : x
  2. Step 2: Convert to fraction form
    320,843.96/442,775.10 = 184,867.36/x
  3. Step 3: Cross multiply
    320,843.96x = 442,775.10 × 184,867.36
  4. Step 4: Simplify right side
    320,843.96x = 81,854,663,810.74
  5. Step 5: Solve for x
    x = 81,854,663,810.74/320,843.96
  6. Step 6: Final answer
    x = 255,122.97

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1.5x scale

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.