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Finding the Fourth Proportional to 507,199.50, 699,935.31 and 280,845

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Solution

The fourth proportional to 507,199.50, 699,935.31 and 280,845 is: 387,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,199.50 : 699,935.31 = 280,845 : x
  2. Step 2: Convert to fraction form
    507,199.50/699,935.31 = 280,845/x
  3. Step 3: Cross multiply
    507,199.50x = 699,935.31 × 280,845
  4. Step 4: Simplify right side
    507,199.50x = 196,573,332,136.95
  5. Step 5: Solve for x
    x = 196,573,332,136.95/507,199.50
  6. Step 6: Final answer
    x = 387,566.10

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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.