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Finding the Fourth Proportional to 393,676.20, 590,514.30 and 314,944.20

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Solution

The fourth proportional to 393,676.20, 590,514.30 and 314,944.20 is: 472,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,676.20 : 590,514.30 = 314,944.20 : x
  2. Step 2: Convert to fraction form
    393,676.20/590,514.30 = 314,944.20/x
  3. Step 3: Cross multiply
    393,676.20x = 590,514.30 × 314,944.20
  4. Step 4: Simplify right side
    393,676.20x = 185,979,053,802.06
  5. Step 5: Solve for x
    x = 185,979,053,802.06/393,676.20
  6. Step 6: Final answer
    x = 472,416.30

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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.