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Finding the Fourth Proportional to 386,446.50, 533,301.62 and 233,463.42

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Solution

The fourth proportional to 386,446.50, 533,301.62 and 233,463.42 is: 322,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,446.50 : 533,301.62 = 233,463.42 : x
  2. Step 2: Convert to fraction form
    386,446.50/533,301.62 = 233,463.42/x
  3. Step 3: Cross multiply
    386,446.50x = 533,301.62 × 233,463.42
  4. Step 4: Simplify right side
    386,446.50x = 124,506,420,096.74
  5. Step 5: Solve for x
    x = 124,506,420,096.74/386,446.50
  6. Step 6: Final answer
    x = 322,182.81

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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.