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Finding the Fourth Proportional to 538,069.59, 806,824.13 and 200,832.89

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Solution

The fourth proportional to 538,069.59, 806,824.13 and 200,832.89 is: 301,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,069.59 : 806,824.13 = 200,832.89 : x
  2. Step 2: Convert to fraction form
    538,069.59/806,824.13 = 200,832.89/x
  3. Step 3: Cross multiply
    538,069.59x = 806,824.13 × 200,832.89
  4. Step 4: Simplify right side
    538,069.59x = 162,036,816,711.35
  5. Step 5: Solve for x
    x = 162,036,816,711.35/538,069.59
  6. Step 6: Final answer
    x = 301,144.72

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1.5x scale

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.