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Finding the Fourth Proportional to 260,029.40, 390,044.10 and 214,928.60

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Solution

The fourth proportional to 260,029.40, 390,044.10 and 214,928.60 is: 322,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,029.40 : 390,044.10 = 214,928.60 : x
  2. Step 2: Convert to fraction form
    260,029.40/390,044.10 = 214,928.60/x
  3. Step 3: Cross multiply
    260,029.40x = 390,044.10 × 214,928.60
  4. Step 4: Simplify right side
    260,029.40x = 83,831,632,351.26
  5. Step 5: Solve for x
    x = 83,831,632,351.26/260,029.40
  6. Step 6: Final answer
    x = 322,392.90

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Why These Related Problems?

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