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Finding the Fourth Proportional to 369,721.75, 510,220.94 and 208,576.30

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Solution

The fourth proportional to 369,721.75, 510,220.94 and 208,576.30 is: 287,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,721.75 : 510,220.94 = 208,576.30 : x
  2. Step 2: Convert to fraction form
    369,721.75/510,220.94 = 208,576.30/x
  3. Step 3: Cross multiply
    369,721.75x = 510,220.94 × 208,576.30
  4. Step 4: Simplify right side
    369,721.75x = 106,419,995,847.72
  5. Step 5: Solve for x
    x = 106,419,995,847.72/369,721.75
  6. Step 6: Final answer
    x = 287,838.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.