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Finding the Fourth Proportional to 386,221.44, 533,018.40 and 225,089.76

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Solution

The fourth proportional to 386,221.44, 533,018.40 and 225,089.76 is: 310,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,221.44 : 533,018.40 = 225,089.76 : x
  2. Step 2: Convert to fraction form
    386,221.44/533,018.40 = 225,089.76/x
  3. Step 3: Cross multiply
    386,221.44x = 533,018.40 × 225,089.76
  4. Step 4: Simplify right side
    386,221.44x = 119,976,983,731.58
  5. Step 5: Solve for x
    x = 119,976,983,731.58/386,221.44
  6. Step 6: Final answer
    x = 310,642.99

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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.