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Finding the Fourth Proportional to 508,563.70, 763,093.32 and 209,134.24

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Solution

The fourth proportional to 508,563.70, 763,093.32 and 209,134.24 is: 313,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,563.70 : 763,093.32 = 209,134.24 : x
  2. Step 2: Convert to fraction form
    508,563.70/763,093.32 = 209,134.24/x
  3. Step 3: Cross multiply
    508,563.70x = 763,093.32 × 209,134.24
  4. Step 4: Simplify right side
    508,563.70x = 159,588,941,527.28
  5. Step 5: Solve for x
    x = 159,588,941,527.28/508,563.70
  6. Step 6: Final answer
    x = 313,803.25

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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.