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Finding the Fourth Proportional to 601,386.12, 829,717.56 and 410,067.36

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Solution

The fourth proportional to 601,386.12, 829,717.56 and 410,067.36 is: 565,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,386.12 : 829,717.56 = 410,067.36 : x
  2. Step 2: Convert to fraction form
    601,386.12/829,717.56 = 410,067.36/x
  3. Step 3: Cross multiply
    601,386.12x = 829,717.56 × 410,067.36
  4. Step 4: Simplify right side
    601,386.12x = 340,240,089,374.84
  5. Step 5: Solve for x
    x = 340,240,089,374.84/601,386.12
  6. Step 6: Final answer
    x = 565,759.80

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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.