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Finding the Fourth Proportional to 320,878.32, 442,828.38 and 184,934.40

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Solution

The fourth proportional to 320,878.32, 442,828.38 and 184,934.40 is: 255,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,878.32 : 442,828.38 = 184,934.40 : x
  2. Step 2: Convert to fraction form
    320,878.32/442,828.38 = 184,934.40/x
  3. Step 3: Cross multiply
    320,878.32x = 442,828.38 × 184,934.40
  4. Step 4: Simplify right side
    320,878.32x = 81,894,200,758.27
  5. Step 5: Solve for x
    x = 81,894,200,758.27/320,878.32
  6. Step 6: Final answer
    x = 255,218.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.