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Finding the Fourth Proportional to 412,856.10, 619,284.15 and 235,709.10

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Solution

The fourth proportional to 412,856.10, 619,284.15 and 235,709.10 is: 353,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,856.10 : 619,284.15 = 235,709.10 : x
  2. Step 2: Convert to fraction form
    412,856.10/619,284.15 = 235,709.10/x
  3. Step 3: Cross multiply
    412,856.10x = 619,284.15 × 235,709.10
  4. Step 4: Simplify right side
    412,856.10x = 145,970,909,640.77
  5. Step 5: Solve for x
    x = 145,970,909,640.77/412,856.10
  6. Step 6: Final answer
    x = 353,563.65

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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.