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Finding the Fourth Proportional to 407,414.60, 611,121.90 and 302,438.60

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Solution

The fourth proportional to 407,414.60, 611,121.90 and 302,438.60 is: 453,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,414.60 : 611,121.90 = 302,438.60 : x
  2. Step 2: Convert to fraction form
    407,414.60/611,121.90 = 302,438.60/x
  3. Step 3: Cross multiply
    407,414.60x = 611,121.90 × 302,438.60
  4. Step 4: Simplify right side
    407,414.60x = 184,826,851,865.34
  5. Step 5: Solve for x
    x = 184,826,851,865.34/407,414.60
  6. Step 6: Final answer
    x = 453,657.90

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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.