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Finding the Fourth Proportional to 299,782.01, 413,694.20 and 163,813.06

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Solution

The fourth proportional to 299,782.01, 413,694.20 and 163,813.06 is: 226,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,782.01 : 413,694.20 = 163,813.06 : x
  2. Step 2: Convert to fraction form
    299,782.01/413,694.20 = 163,813.06/x
  3. Step 3: Cross multiply
    299,782.01x = 413,694.20 × 163,813.06
  4. Step 4: Simplify right side
    299,782.01x = 67,768,509,918.72
  5. Step 5: Solve for x
    x = 67,768,509,918.72/299,782.01
  6. Step 6: Final answer
    x = 226,059.30

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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.