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Finding the Fourth Proportional to 417,181.32, 575,498.25 and 263,961.18

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Solution

The fourth proportional to 417,181.32, 575,498.25 and 263,961.18 is: 364,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,181.32 : 575,498.25 = 263,961.18 : x
  2. Step 2: Convert to fraction form
    417,181.32/575,498.25 = 263,961.18/x
  3. Step 3: Cross multiply
    417,181.32x = 575,498.25 × 263,961.18
  4. Step 4: Simplify right side
    417,181.32x = 151,909,197,157.94
  5. Step 5: Solve for x
    x = 151,909,197,157.94/417,181.32
  6. Step 6: Final answer
    x = 364,132.31

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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.