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Finding the Fourth Proportional to 346,589.70, 519,880.42 and 109,934.43

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Solution

The fourth proportional to 346,589.70, 519,880.42 and 109,934.43 is: 164,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,589.70 : 519,880.42 = 109,934.43 : x
  2. Step 2: Convert to fraction form
    346,589.70/519,880.42 = 109,934.43/x
  3. Step 3: Cross multiply
    346,589.70x = 519,880.42 × 109,934.43
  4. Step 4: Simplify right side
    346,589.70x = 57,152,757,640.86
  5. Step 5: Solve for x
    x = 57,152,757,640.86/346,589.70
  6. Step 6: Final answer
    x = 164,900.34

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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.