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Finding the Fourth Proportional to 297,997.60, 447,514.80 and 158,029.60

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Solution

The fourth proportional to 297,997.60, 447,514.80 and 158,029.60 is: 237,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,997.60 : 447,514.80 = 158,029.60 : x
  2. Step 2: Convert to fraction form
    297,997.60/447,514.80 = 158,029.60/x
  3. Step 3: Cross multiply
    297,997.60x = 447,514.80 × 158,029.60
  4. Step 4: Simplify right side
    297,997.60x = 70,720,584,838.08
  5. Step 5: Solve for x
    x = 70,720,584,838.08/297,997.60
  6. Step 6: Final answer
    x = 237,319.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.