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Finding the Fourth Proportional to 407,729.40, 611,594.10 and 323,748.60

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Solution

The fourth proportional to 407,729.40, 611,594.10 and 323,748.60 is: 485,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,729.40 : 611,594.10 = 323,748.60 : x
  2. Step 2: Convert to fraction form
    407,729.40/611,594.10 = 323,748.60/x
  3. Step 3: Cross multiply
    407,729.40x = 611,594.10 × 323,748.60
  4. Step 4: Simplify right side
    407,729.40x = 198,002,733,643.26
  5. Step 5: Solve for x
    x = 198,002,733,643.26/407,729.40
  6. Step 6: Final answer
    x = 485,622.90

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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.