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Finding the Fourth Proportional to 416,801.14, 575,186.13 and 225,814.54

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Solution

The fourth proportional to 416,801.14, 575,186.13 and 225,814.54 is: 311,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,801.14 : 575,186.13 = 225,814.54 : x
  2. Step 2: Convert to fraction form
    416,801.14/575,186.13 = 225,814.54/x
  3. Step 3: Cross multiply
    416,801.14x = 575,186.13 × 225,814.54
  4. Step 4: Simplify right side
    416,801.14x = 129,885,391,360.33
  5. Step 5: Solve for x
    x = 129,885,391,360.33/416,801.14
  6. Step 6: Final answer
    x = 311,624.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.