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Finding the Fourth Proportional to 517,785.36, 714,175.71 and 345,616.52

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Solution

The fourth proportional to 517,785.36, 714,175.71 and 345,616.52 is: 476,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,785.36 : 714,175.71 = 345,616.52 : x
  2. Step 2: Convert to fraction form
    517,785.36/714,175.71 = 345,616.52/x
  3. Step 3: Cross multiply
    517,785.36x = 714,175.71 × 345,616.52
  4. Step 4: Simplify right side
    517,785.36x = 246,830,919,987.85
  5. Step 5: Solve for x
    x = 246,830,919,987.85/517,785.36
  6. Step 6: Final answer
    x = 476,705.10

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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.