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Finding the Fourth Proportional to 386,921.39, 533,952.61 and 214,839.72

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Solution

The fourth proportional to 386,921.39, 533,952.61 and 214,839.72 is: 296,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,921.39 : 533,952.61 = 214,839.72 : x
  2. Step 2: Convert to fraction form
    386,921.39/533,952.61 = 214,839.72/x
  3. Step 3: Cross multiply
    386,921.39x = 533,952.61 × 214,839.72
  4. Step 4: Simplify right side
    386,921.39x = 114,714,228,688.57
  5. Step 5: Solve for x
    x = 114,714,228,688.57/386,921.39
  6. Step 6: Final answer
    x = 296,479.42

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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.