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Finding the Fourth Proportional to 497,131.94, 745,795.38 and 197,556.68

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Solution

The fourth proportional to 497,131.94, 745,795.38 and 197,556.68 is: 296,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,131.94 : 745,795.38 = 197,556.68 : x
  2. Step 2: Convert to fraction form
    497,131.94/745,795.38 = 197,556.68/x
  3. Step 3: Cross multiply
    497,131.94x = 745,795.38 × 197,556.68
  4. Step 4: Simplify right side
    497,131.94x = 147,336,859,232.14
  5. Step 5: Solve for x
    x = 147,336,859,232.14/497,131.94
  6. Step 6: Final answer
    x = 296,373.75

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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.