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Finding the Fourth Proportional to 299,759.61, 413,655.92 and 163,798.22

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Solution

The fourth proportional to 299,759.61, 413,655.92 and 163,798.22 is: 226,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,759.61 : 413,655.92 = 163,798.22 : x
  2. Step 2: Convert to fraction form
    299,759.61/413,655.92 = 163,798.22/x
  3. Step 3: Cross multiply
    299,759.61x = 413,655.92 × 163,798.22
  4. Step 4: Simplify right side
    299,759.61x = 67,756,104,832.10
  5. Step 5: Solve for x
    x = 67,756,104,832.10/299,759.61
  6. Step 6: Final answer
    x = 226,034.81

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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.