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Finding the Fourth Proportional to 299,666.24, 413,153.53 and 213,723.22

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Solution

The fourth proportional to 299,666.24, 413,153.53 and 213,723.22 is: 294,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,666.24 : 413,153.53 = 213,723.22 : x
  2. Step 2: Convert to fraction form
    299,666.24/413,153.53 = 213,723.22/x
  3. Step 3: Cross multiply
    299,666.24x = 413,153.53 × 213,723.22
  4. Step 4: Simplify right side
    299,666.24x = 88,300,499,651.58
  5. Step 5: Solve for x
    x = 88,300,499,651.58/299,666.24
  6. Step 6: Final answer
    x = 294,662.82

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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.