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Finding the Fourth Proportional to 280,571.40, 421,893.90 and 234,952.20

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Solution

The fourth proportional to 280,571.40, 421,893.90 and 234,952.20 is: 353,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,571.40 : 421,893.90 = 234,952.20 : x
  2. Step 2: Convert to fraction form
    280,571.40/421,893.90 = 234,952.20/x
  3. Step 3: Cross multiply
    280,571.40x = 421,893.90 × 234,952.20
  4. Step 4: Simplify right side
    280,571.40x = 99,124,899,971.58
  5. Step 5: Solve for x
    x = 99,124,899,971.58/280,571.40
  6. Step 6: Final answer
    x = 353,296.52

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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.