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Finding the Fourth Proportional to 664,384.20, 997,013.70 and 380,074.20

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Solution

The fourth proportional to 664,384.20, 997,013.70 and 380,074.20 is: 570,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,384.20 : 997,013.70 = 380,074.20 : x
  2. Step 2: Convert to fraction form
    664,384.20/997,013.70 = 380,074.20/x
  3. Step 3: Cross multiply
    664,384.20x = 997,013.70 × 380,074.20
  4. Step 4: Simplify right side
    664,384.20x = 378,939,184,416.54
  5. Step 5: Solve for x
    x = 378,939,184,416.54/664,384.20
  6. Step 6: Final answer
    x = 570,361.52

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1.5x scale

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.