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Finding the Fourth Proportional to 417,319.56, 575,898.12 and 226,333.44

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Solution

The fourth proportional to 417,319.56, 575,898.12 and 226,333.44 is: 312,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,319.56 : 575,898.12 = 226,333.44 : x
  2. Step 2: Convert to fraction form
    417,319.56/575,898.12 = 226,333.44/x
  3. Step 3: Cross multiply
    417,319.56x = 575,898.12 × 226,333.44
  4. Step 4: Simplify right side
    417,319.56x = 130,345,002,589.13
  5. Step 5: Solve for x
    x = 130,345,002,589.13/417,319.56
  6. Step 6: Final answer
    x = 312,338.59

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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.