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Finding the Fourth Proportional to 535,743.09, 739,323.32 and 294,029.64

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Solution

The fourth proportional to 535,743.09, 739,323.32 and 294,029.64 is: 405,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,743.09 : 739,323.32 = 294,029.64 : x
  2. Step 2: Convert to fraction form
    535,743.09/739,323.32 = 294,029.64/x
  3. Step 3: Cross multiply
    535,743.09x = 739,323.32 × 294,029.64
  4. Step 4: Simplify right side
    535,743.09x = 217,382,968,153.06
  5. Step 5: Solve for x
    x = 217,382,968,153.06/535,743.09
  6. Step 6: Final answer
    x = 405,759.72

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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.