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Finding the Fourth Proportional to 508,562.70, 763,091.82 and 209,133.24

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Solution

The fourth proportional to 508,562.70, 763,091.82 and 209,133.24 is: 313,801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,562.70 : 763,091.82 = 209,133.24 : x
  2. Step 2: Convert to fraction form
    508,562.70/763,091.82 = 209,133.24/x
  3. Step 3: Cross multiply
    508,562.70x = 763,091.82 × 209,133.24
  4. Step 4: Simplify right side
    508,562.70x = 159,587,864,734.10
  5. Step 5: Solve for x
    x = 159,587,864,734.10/508,562.70
  6. Step 6: Final answer
    x = 313,801.75

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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.