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Finding the Fourth Proportional to 407,749.40, 611,624.10 and 323,768.60

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Solution

The fourth proportional to 407,749.40, 611,624.10 and 323,768.60 is: 485,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,749.40 : 611,624.10 = 323,768.60 : x
  2. Step 2: Convert to fraction form
    407,749.40/611,624.10 = 323,768.60/x
  3. Step 3: Cross multiply
    407,749.40x = 611,624.10 × 323,768.60
  4. Step 4: Simplify right side
    407,749.40x = 198,024,678,583.26
  5. Step 5: Solve for x
    x = 198,024,678,583.26/407,749.40
  6. Step 6: Final answer
    x = 485,652.90

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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.