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Finding the Fourth Proportional to 517,798.10, 714,193.30 and 345,629.27

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Solution

The fourth proportional to 517,798.10, 714,193.30 and 345,629.27 is: 476,722.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,798.10 : 714,193.30 = 345,629.27 : x
  2. Step 2: Convert to fraction form
    517,798.10/714,193.30 = 345,629.27/x
  3. Step 3: Cross multiply
    517,798.10x = 714,193.30 × 345,629.27
  4. Step 4: Simplify right side
    517,798.10x = 246,846,108,917.89
  5. Step 5: Solve for x
    x = 246,846,108,917.89/517,798.10
  6. Step 6: Final answer
    x = 476,722.70

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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.