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Finding the Fourth Proportional to 508,953.56, 763,193.37 and 188,882.51

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Solution

The fourth proportional to 508,953.56, 763,193.37 and 188,882.51 is: 283,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,953.56 : 763,193.37 = 188,882.51 : x
  2. Step 2: Convert to fraction form
    508,953.56/763,193.37 = 188,882.51/x
  3. Step 3: Cross multiply
    508,953.56x = 763,193.37 × 188,882.51
  4. Step 4: Simplify right side
    508,953.56x = 144,153,879,340.96
  5. Step 5: Solve for x
    x = 144,153,879,340.96/508,953.56
  6. Step 6: Final answer
    x = 283,235.82

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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.