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Finding the Fourth Proportional to 390,441.30, 585,367.47 and 213,099.54

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Solution

The fourth proportional to 390,441.30, 585,367.47 and 213,099.54 is: 319,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,441.30 : 585,367.47 = 213,099.54 : x
  2. Step 2: Convert to fraction form
    390,441.30/585,367.47 = 213,099.54/x
  3. Step 3: Cross multiply
    390,441.30x = 585,367.47 × 213,099.54
  4. Step 4: Simplify right side
    390,441.30x = 124,741,538,587.96
  5. Step 5: Solve for x
    x = 124,741,538,587.96/390,441.30
  6. Step 6: Final answer
    x = 319,488.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.