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Finding the Fourth Proportional to 399,035.04, 598,202.16 and 162,576.64

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Solution

The fourth proportional to 399,035.04, 598,202.16 and 162,576.64 is: 243,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,035.04 : 598,202.16 = 162,576.64 : x
  2. Step 2: Convert to fraction form
    399,035.04/598,202.16 = 162,576.64/x
  3. Step 3: Cross multiply
    399,035.04x = 598,202.16 × 162,576.64
  4. Step 4: Simplify right side
    399,035.04x = 97,253,697,213.54
  5. Step 5: Solve for x
    x = 97,253,697,213.54/399,035.04
  6. Step 6: Final answer
    x = 243,722.20

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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.