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Finding the Fourth Proportional to 417,027.68, 575,498.77 and 226,041.02

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Solution

The fourth proportional to 417,027.68, 575,498.77 and 226,041.02 is: 311,936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,027.68 : 575,498.77 = 226,041.02 : x
  2. Step 2: Convert to fraction form
    417,027.68/575,498.77 = 226,041.02/x
  3. Step 3: Cross multiply
    417,027.68x = 575,498.77 × 226,041.02
  4. Step 4: Simplify right side
    417,027.68x = 130,086,325,536.95
  5. Step 5: Solve for x
    x = 130,086,325,536.95/417,027.68
  6. Step 6: Final answer
    x = 311,936.91

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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.