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Finding the Fourth Proportional to 463,197.17, 638,704.48 and 301,752.83

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Solution

The fourth proportional to 463,197.17, 638,704.48 and 301,752.83 is: 416,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,197.17 : 638,704.48 = 301,752.83 : x
  2. Step 2: Convert to fraction form
    463,197.17/638,704.48 = 301,752.83/x
  3. Step 3: Cross multiply
    463,197.17x = 638,704.48 × 301,752.83
  4. Step 4: Simplify right side
    463,197.17x = 192,730,884,373.68
  5. Step 5: Solve for x
    x = 192,730,884,373.68/463,197.17
  6. Step 6: Final answer
    x = 416,088.22

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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.