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Finding the Fourth Proportional to 299,658.25, 413,528.39 and 172,331.11

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Solution

The fourth proportional to 299,658.25, 413,528.39 and 172,331.11 is: 237,816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,658.25 : 413,528.39 = 172,331.11 : x
  2. Step 2: Convert to fraction form
    299,658.25/413,528.39 = 172,331.11/x
  3. Step 3: Cross multiply
    299,658.25x = 413,528.39 × 172,331.11
  4. Step 4: Simplify right side
    299,658.25x = 71,263,806,465.21
  5. Step 5: Solve for x
    x = 71,263,806,465.21/299,658.25
  6. Step 6: Final answer
    x = 237,816.93

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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.