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Finding the Fourth Proportional to 416,741.04, 575,102.90 and 225,755.19

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Solution

The fourth proportional to 416,741.04, 575,102.90 and 225,755.19 is: 311,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,741.04 : 575,102.90 = 225,755.19 : x
  2. Step 2: Convert to fraction form
    416,741.04/575,102.90 = 225,755.19/x
  3. Step 3: Cross multiply
    416,741.04x = 575,102.90 × 225,755.19
  4. Step 4: Simplify right side
    416,741.04x = 129,832,465,023.44
  5. Step 5: Solve for x
    x = 129,832,465,023.44/416,741.04
  6. Step 6: Final answer
    x = 311,542.31

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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.