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Finding the Fourth Proportional to 347,947.84, 522,122.64 and 188,024.28

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Solution

The fourth proportional to 347,947.84, 522,122.64 and 188,024.28 is: 282,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,947.84 : 522,122.64 = 188,024.28 : x
  2. Step 2: Convert to fraction form
    347,947.84/522,122.64 = 188,024.28/x
  3. Step 3: Cross multiply
    347,947.84x = 522,122.64 × 188,024.28
  4. Step 4: Simplify right side
    347,947.84x = 98,171,733,457.70
  5. Step 5: Solve for x
    x = 98,171,733,457.70/347,947.84
  6. Step 6: Final answer
    x = 282,144.97

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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.