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Finding the Fourth Proportional to 664,009.20, 997,050.60 and 384,073.20

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Solution

The fourth proportional to 664,009.20, 997,050.60 and 384,073.20 is: 576,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,009.20 : 997,050.60 = 384,073.20 : x
  2. Step 2: Convert to fraction form
    664,009.20/997,050.60 = 384,073.20/x
  3. Step 3: Cross multiply
    664,009.20x = 997,050.60 × 384,073.20
  4. Step 4: Simplify right side
    664,009.20x = 382,940,414,503.92
  5. Step 5: Solve for x
    x = 382,940,414,503.92/664,009.20
  6. Step 6: Final answer
    x = 576,709.50

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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.