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Finding the Fourth Proportional to 511,873, 706,340.46 and 330,592.84

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Solution

The fourth proportional to 511,873, 706,340.46 and 330,592.84 is: 456,189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,873 : 706,340.46 = 330,592.84 : x
  2. Step 2: Convert to fraction form
    511,873/706,340.46 = 330,592.84/x
  3. Step 3: Cross multiply
    511,873x = 706,340.46 × 330,592.84
  4. Step 4: Simplify right side
    511,873x = 233,511,098,678.31
  5. Step 5: Solve for x
    x = 233,511,098,678.31/511,873
  6. Step 6: Final answer
    x = 456,189.52

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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.