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Finding the Fourth Proportional to 517,791.60, 714,184.32 and 345,622.77

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Solution

The fourth proportional to 517,791.60, 714,184.32 and 345,622.77 is: 476,713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,791.60 : 714,184.32 = 345,622.77 : x
  2. Step 2: Convert to fraction form
    517,791.60/714,184.32 = 345,622.77/x
  3. Step 3: Cross multiply
    517,791.60x = 714,184.32 × 345,622.77
  4. Step 4: Simplify right side
    517,791.60x = 246,838,362,968.97
  5. Step 5: Solve for x
    x = 246,838,362,968.97/517,791.60
  6. Step 6: Final answer
    x = 476,713.73

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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.