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Finding the Fourth Proportional to 381,814.54, 526,945.83 and 218,486.14

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Solution

The fourth proportional to 381,814.54, 526,945.83 and 218,486.14 is: 301,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,814.54 : 526,945.83 = 218,486.14 : x
  2. Step 2: Convert to fraction form
    381,814.54/526,945.83 = 218,486.14/x
  3. Step 3: Cross multiply
    381,814.54x = 526,945.83 × 218,486.14
  4. Step 4: Simplify right side
    381,814.54x = 115,130,360,385.80
  5. Step 5: Solve for x
    x = 115,130,360,385.80/381,814.54
  6. Step 6: Final answer
    x = 301,534.77

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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.