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Finding the Fourth Proportional to 416,839.34, 575,234.52 and 225,852.14

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Solution

The fourth proportional to 416,839.34, 575,234.52 and 225,852.14 is: 311,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,839.34 : 575,234.52 = 225,852.14 : x
  2. Step 2: Convert to fraction form
    416,839.34/575,234.52 = 225,852.14/x
  3. Step 3: Cross multiply
    416,839.34x = 575,234.52 × 225,852.14
  4. Step 4: Simplify right side
    416,839.34x = 129,917,947,343.87
  5. Step 5: Solve for x
    x = 129,917,947,343.87/416,839.34
  6. Step 6: Final answer
    x = 311,673.91

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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.