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Finding the Fourth Proportional to 354,233.10, 531,004.05 and 316,908.30

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Solution

The fourth proportional to 354,233.10, 531,004.05 and 316,908.30 is: 475,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,233.10 : 531,004.05 = 316,908.30 : x
  2. Step 2: Convert to fraction form
    354,233.10/531,004.05 = 316,908.30/x
  3. Step 3: Cross multiply
    354,233.10x = 531,004.05 × 316,908.30
  4. Step 4: Simplify right side
    354,233.10x = 168,279,590,778.62
  5. Step 5: Solve for x
    x = 168,279,590,778.62/354,233.10
  6. Step 6: Final answer
    x = 475,053.27

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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.