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Finding the Fourth Proportional to 429,714.01, 641,416.75 and 398,046.25

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Solution

The fourth proportional to 429,714.01, 641,416.75 and 398,046.25 is: 594,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,714.01 : 641,416.75 = 398,046.25 : x
  2. Step 2: Convert to fraction form
    429,714.01/641,416.75 = 398,046.25/x
  3. Step 3: Cross multiply
    429,714.01x = 641,416.75 × 398,046.25
  4. Step 4: Simplify right side
    429,714.01x = 255,313,533,019.80
  5. Step 5: Solve for x
    x = 255,313,533,019.80/429,714.01
  6. Step 6: Final answer
    x = 594,147.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.