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Finding the Fourth Proportional to 337,643.90, 505,785.45 and 210,895.10

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Solution

The fourth proportional to 337,643.90, 505,785.45 and 210,895.10 is: 315,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,643.90 : 505,785.45 = 210,895.10 : x
  2. Step 2: Convert to fraction form
    337,643.90/505,785.45 = 210,895.10/x
  3. Step 3: Cross multiply
    337,643.90x = 505,785.45 × 210,895.10
  4. Step 4: Simplify right side
    337,643.90x = 106,667,673,056.30
  5. Step 5: Solve for x
    x = 106,667,673,056.30/337,643.90
  6. Step 6: Final answer
    x = 315,917.67

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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.