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Finding the Fourth Proportional to 397,803.60, 596,705.40 and 361,861.20

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Solution

The fourth proportional to 397,803.60, 596,705.40 and 361,861.20 is: 542,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,803.60 : 596,705.40 = 361,861.20 : x
  2. Step 2: Convert to fraction form
    397,803.60/596,705.40 = 361,861.20/x
  3. Step 3: Cross multiply
    397,803.60x = 596,705.40 × 361,861.20
  4. Step 4: Simplify right side
    397,803.60x = 215,924,532,090.48
  5. Step 5: Solve for x
    x = 215,924,532,090.48/397,803.60
  6. Step 6: Final answer
    x = 542,791.80

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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.