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Finding the Fourth Proportional to 260,002.40, 389,420.40 and 213,346.40

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Solution

The fourth proportional to 260,002.40, 389,420.40 and 213,346.40 is: 319,541.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,002.40 : 389,420.40 = 213,346.40 : x
  2. Step 2: Convert to fraction form
    260,002.40/389,420.40 = 213,346.40/x
  3. Step 3: Cross multiply
    260,002.40x = 389,420.40 × 213,346.40
  4. Step 4: Simplify right side
    260,002.40x = 83,081,440,426.56
  5. Step 5: Solve for x
    x = 83,081,440,426.56/260,002.40
  6. Step 6: Final answer
    x = 319,541.05

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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.