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Finding the Fourth Proportional to 369,642.87, 510,106.82 and 199,876.59

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Solution

The fourth proportional to 369,642.87, 510,106.82 and 199,876.59 is: 275,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,642.87 : 510,106.82 = 199,876.59 : x
  2. Step 2: Convert to fraction form
    369,642.87/510,106.82 = 199,876.59/x
  3. Step 3: Cross multiply
    369,642.87x = 510,106.82 × 199,876.59
  4. Step 4: Simplify right side
    369,642.87x = 101,958,410,717.96
  5. Step 5: Solve for x
    x = 101,958,410,717.96/369,642.87
  6. Step 6: Final answer
    x = 275,829.51

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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.