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Finding the Fourth Proportional to 417,186.21, 575,738.09 and 233,445.41

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Solution

The fourth proportional to 417,186.21, 575,738.09 and 233,445.41 is: 322,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,186.21 : 575,738.09 = 233,445.41 : x
  2. Step 2: Convert to fraction form
    417,186.21/575,738.09 = 233,445.41/x
  3. Step 3: Cross multiply
    417,186.21x = 575,738.09 × 233,445.41
  4. Step 4: Simplify right side
    417,186.21x = 134,403,410,426.75
  5. Step 5: Solve for x
    x = 134,403,410,426.75/417,186.21
  6. Step 6: Final answer
    x = 322,166.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.