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Finding the Fourth Proportional to 386,369, 533,191.14 and 225,335.72

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Solution

The fourth proportional to 386,369, 533,191.14 and 225,335.72 is: 310,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,369 : 533,191.14 = 225,335.72 : x
  2. Step 2: Convert to fraction form
    386,369/533,191.14 = 225,335.72/x
  3. Step 3: Cross multiply
    386,369x = 533,191.14 × 225,335.72
  4. Step 4: Simplify right side
    386,369x = 120,147,009,429.52
  5. Step 5: Solve for x
    x = 120,147,009,429.52/386,369
  6. Step 6: Final answer
    x = 310,964.41

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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.