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Finding the Fourth Proportional to 381,314.69, 526,214.68 and 211,548.81

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Solution

The fourth proportional to 381,314.69, 526,214.68 and 211,548.81 is: 291,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,314.69 : 526,214.68 = 211,548.81 : x
  2. Step 2: Convert to fraction form
    381,314.69/526,214.68 = 211,548.81/x
  3. Step 3: Cross multiply
    381,314.69x = 526,214.68 × 211,548.81
  4. Step 4: Simplify right side
    381,314.69x = 111,320,090,802.96
  5. Step 5: Solve for x
    x = 111,320,090,802.96/381,314.69
  6. Step 6: Final answer
    x = 291,937.59

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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.