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Finding the Fourth Proportional to 299,477.26, 413,129.49 and 178,533.34

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Solution

The fourth proportional to 299,477.26, 413,129.49 and 178,533.34 is: 246,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,477.26 : 413,129.49 = 178,533.34 : x
  2. Step 2: Convert to fraction form
    299,477.26/413,129.49 = 178,533.34/x
  3. Step 3: Cross multiply
    299,477.26x = 413,129.49 × 178,533.34
  4. Step 4: Simplify right side
    299,477.26x = 73,757,387,702.20
  5. Step 5: Solve for x
    x = 73,757,387,702.20/299,477.26
  6. Step 6: Final answer
    x = 246,287.11

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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.