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Finding the Fourth Proportional to 299,598.13, 413,171.60 and 234,195.59

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Solution

The fourth proportional to 299,598.13, 413,171.60 and 234,195.59 is: 322,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,598.13 : 413,171.60 = 234,195.59 : x
  2. Step 2: Convert to fraction form
    299,598.13/413,171.60 = 234,195.59/x
  3. Step 3: Cross multiply
    299,598.13x = 413,171.60 × 234,195.59
  4. Step 4: Simplify right side
    299,598.13x = 96,762,967,666.17
  5. Step 5: Solve for x
    x = 96,762,967,666.17/299,598.13
  6. Step 6: Final answer
    x = 322,975.88

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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.