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Finding the Fourth Proportional to 416,799.63, 575,184.06 and 225,813.03

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Solution

The fourth proportional to 416,799.63, 575,184.06 and 225,813.03 is: 311,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,799.63 : 575,184.06 = 225,813.03 : x
  2. Step 2: Convert to fraction form
    416,799.63/575,184.06 = 225,813.03/x
  3. Step 3: Cross multiply
    416,799.63x = 575,184.06 × 225,813.03
  4. Step 4: Simplify right side
    416,799.63x = 129,884,055,396.30
  5. Step 5: Solve for x
    x = 129,884,055,396.30/416,799.63
  6. Step 6: Final answer
    x = 311,622.29

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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.