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Finding the Fourth Proportional to 283,714.52, 391,523.68 and 154,650.64

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Solution

The fourth proportional to 283,714.52, 391,523.68 and 154,650.64 is: 213,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,714.52 : 391,523.68 = 154,650.64 : x
  2. Step 2: Convert to fraction form
    283,714.52/391,523.68 = 154,650.64/x
  3. Step 3: Cross multiply
    283,714.52x = 391,523.68 × 154,650.64
  4. Step 4: Simplify right side
    283,714.52x = 60,549,387,687.16
  5. Step 5: Solve for x
    x = 60,549,387,687.16/283,714.52
  6. Step 6: Final answer
    x = 213,416.60

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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.