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Finding the Fourth Proportional to 337,643.40, 505,784.70 and 210,894.60

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Solution

The fourth proportional to 337,643.40, 505,784.70 and 210,894.60 is: 315,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,643.40 : 505,784.70 = 210,894.60 : x
  2. Step 2: Convert to fraction form
    337,643.40/505,784.70 = 210,894.60/x
  3. Step 3: Cross multiply
    337,643.40x = 505,784.70 × 210,894.60
  4. Step 4: Simplify right side
    337,643.40x = 106,667,261,992.62
  5. Step 5: Solve for x
    x = 106,667,261,992.62/337,643.40
  6. Step 6: Final answer
    x = 315,916.92

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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.