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Finding the Fourth Proportional to 299,523.99, 413,359.98 and 163,570.59

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Solution

The fourth proportional to 299,523.99, 413,359.98 and 163,570.59 is: 225,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,523.99 : 413,359.98 = 163,570.59 : x
  2. Step 2: Convert to fraction form
    299,523.99/413,359.98 = 163,570.59/x
  3. Step 3: Cross multiply
    299,523.99x = 413,359.98 × 163,570.59
  4. Step 4: Simplify right side
    299,523.99x = 67,613,535,810.99
  5. Step 5: Solve for x
    x = 67,613,535,810.99/299,523.99
  6. Step 6: Final answer
    x = 225,736.63

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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.