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Finding the Fourth Proportional to 346,380.70, 478,114.23 and 203,198.62

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Solution

The fourth proportional to 346,380.70, 478,114.23 and 203,198.62 is: 280,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,380.70 : 478,114.23 = 203,198.62 : x
  2. Step 2: Convert to fraction form
    346,380.70/478,114.23 = 203,198.62/x
  3. Step 3: Cross multiply
    346,380.70x = 478,114.23 × 203,198.62
  4. Step 4: Simplify right side
    346,380.70x = 97,152,151,738.36
  5. Step 5: Solve for x
    x = 97,152,151,738.36/346,380.70
  6. Step 6: Final answer
    x = 280,477.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.