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Finding the Fourth Proportional to 402,271.40, 603,228.90 and 135,959.60

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Solution

The fourth proportional to 402,271.40, 603,228.90 and 135,959.60 is: 203,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,271.40 : 603,228.90 = 135,959.60 : x
  2. Step 2: Convert to fraction form
    402,271.40/603,228.90 = 135,959.60/x
  3. Step 3: Cross multiply
    402,271.40x = 603,228.90 × 135,959.60
  4. Step 4: Simplify right side
    402,271.40x = 82,014,759,952.44
  5. Step 5: Solve for x
    x = 82,014,759,952.44/402,271.40
  6. Step 6: Final answer
    x = 203,879.17

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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.