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Finding the Fourth Proportional to 260,456.40, 390,101.40 and 213,800.40

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Solution

The fourth proportional to 260,456.40, 390,101.40 and 213,800.40 is: 320,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,456.40 : 390,101.40 = 213,800.40 : x
  2. Step 2: Convert to fraction form
    260,456.40/390,101.40 = 213,800.40/x
  3. Step 3: Cross multiply
    260,456.40x = 390,101.40 × 213,800.40
  4. Step 4: Simplify right side
    260,456.40x = 83,403,835,360.56
  5. Step 5: Solve for x
    x = 83,403,835,360.56/260,456.40
  6. Step 6: Final answer
    x = 320,221.87

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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.