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Finding the Fourth Proportional to 517,796.50, 714,191.01 and 345,627.64

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Solution

The fourth proportional to 517,796.50, 714,191.01 and 345,627.64 is: 476,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,796.50 : 714,191.01 = 345,627.64 : x
  2. Step 2: Convert to fraction form
    517,796.50/714,191.01 = 345,627.64/x
  3. Step 3: Cross multiply
    517,796.50x = 714,191.01 × 345,627.64
  4. Step 4: Simplify right side
    517,796.50x = 246,844,153,295.52
  5. Step 5: Solve for x
    x = 246,844,153,295.52/517,796.50
  6. Step 6: Final answer
    x = 476,720.40

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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.