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Finding the Fourth Proportional to 337,206.10, 505,728.15 and 194,743.30

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Solution

The fourth proportional to 337,206.10, 505,728.15 and 194,743.30 is: 292,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,206.10 : 505,728.15 = 194,743.30 : x
  2. Step 2: Convert to fraction form
    337,206.10/505,728.15 = 194,743.30/x
  3. Step 3: Cross multiply
    337,206.10x = 505,728.15 × 194,743.30
  4. Step 4: Simplify right side
    337,206.10x = 98,487,168,833.90
  5. Step 5: Solve for x
    x = 98,487,168,833.90/337,206.10
  6. Step 6: Final answer
    x = 292,068.17

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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.