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Finding the Fourth Proportional to 402,419.60, 603,410.70 and 165,786.20

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Solution

The fourth proportional to 402,419.60, 603,410.70 and 165,786.20 is: 248,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,419.60 : 603,410.70 = 165,786.20 : x
  2. Step 2: Convert to fraction form
    402,419.60/603,410.70 = 165,786.20/x
  3. Step 3: Cross multiply
    402,419.60x = 603,410.70 × 165,786.20
  4. Step 4: Simplify right side
    402,419.60x = 100,037,166,992.34
  5. Step 5: Solve for x
    x = 100,037,166,992.34/402,419.60
  6. Step 6: Final answer
    x = 248,589.20

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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.