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Finding the Fourth Proportional to 386,345.80, 533,189.12 and 214,319.23

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Solution

The fourth proportional to 386,345.80, 533,189.12 and 214,319.23 is: 295,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,345.80 : 533,189.12 = 214,319.23 : x
  2. Step 2: Convert to fraction form
    386,345.80/533,189.12 = 214,319.23/x
  3. Step 3: Cross multiply
    386,345.80x = 533,189.12 × 214,319.23
  4. Step 4: Simplify right side
    386,345.80x = 114,272,682,178.58
  5. Step 5: Solve for x
    x = 114,272,682,178.58/386,345.80
  6. Step 6: Final answer
    x = 295,778.24

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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.