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Finding the Fourth Proportional to 255,338.76, 382,649.61 and 201,795.33

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Solution

The fourth proportional to 255,338.76, 382,649.61 and 201,795.33 is: 302,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,338.76 : 382,649.61 = 201,795.33 : x
  2. Step 2: Convert to fraction form
    255,338.76/382,649.61 = 201,795.33/x
  3. Step 3: Cross multiply
    255,338.76x = 382,649.61 × 201,795.33
  4. Step 4: Simplify right side
    255,338.76x = 77,216,904,324.32
  5. Step 5: Solve for x
    x = 77,216,904,324.32/255,338.76
  6. Step 6: Final answer
    x = 302,409.65

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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.