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Finding the Fourth Proportional to 534,739.50, 737,940.51 and 296,275.50

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Solution

The fourth proportional to 534,739.50, 737,940.51 and 296,275.50 is: 408,860.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,739.50 : 737,940.51 = 296,275.50 : x
  2. Step 2: Convert to fraction form
    534,739.50/737,940.51 = 296,275.50/x
  3. Step 3: Cross multiply
    534,739.50x = 737,940.51 × 296,275.50
  4. Step 4: Simplify right side
    534,739.50x = 218,633,693,570.51
  5. Step 5: Solve for x
    x = 218,633,693,570.51/534,739.50
  6. Step 6: Final answer
    x = 408,860.19

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Why These Related Problems?

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