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Finding the Fourth Proportional to 463,204.55, 638,714.68 and 301,760.21

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Solution

The fourth proportional to 463,204.55, 638,714.68 and 301,760.21 is: 416,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,204.55 : 638,714.68 = 301,760.21 : x
  2. Step 2: Convert to fraction form
    463,204.55/638,714.68 = 301,760.21/x
  3. Step 3: Cross multiply
    463,204.55x = 638,714.68 × 301,760.21
  4. Step 4: Simplify right side
    463,204.55x = 192,738,676,809.27
  5. Step 5: Solve for x
    x = 192,738,676,809.27/463,204.55
  6. Step 6: Final answer
    x = 416,098.41

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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.