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Finding the Fourth Proportional to 393,357.68, 542,832.84 and 214,509.68

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Solution

The fourth proportional to 393,357.68, 542,832.84 and 214,509.68 is: 296,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,357.68 : 542,832.84 = 214,509.68 : x
  2. Step 2: Convert to fraction form
    393,357.68/542,832.84 = 214,509.68/x
  3. Step 3: Cross multiply
    393,357.68x = 542,832.84 × 214,509.68
  4. Step 4: Simplify right side
    393,357.68x = 116,442,898,801.89
  5. Step 5: Solve for x
    x = 116,442,898,801.89/393,357.68
  6. Step 6: Final answer
    x = 296,022.94

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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.