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Finding the Fourth Proportional to 463,674.60, 694,151.10 and 345,868.20

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Solution

The fourth proportional to 463,674.60, 694,151.10 and 345,868.20 is: 517,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,674.60 : 694,151.10 = 345,868.20 : x
  2. Step 2: Convert to fraction form
    463,674.60/694,151.10 = 345,868.20/x
  3. Step 3: Cross multiply
    463,674.60x = 694,151.10 × 345,868.20
  4. Step 4: Simplify right side
    463,674.60x = 240,084,791,485.02
  5. Step 5: Solve for x
    x = 240,084,791,485.02/463,674.60
  6. Step 6: Final answer
    x = 517,787.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.