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Finding the Fourth Proportional to 535,296.29, 738,707.39 and 305,924.76

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Solution

The fourth proportional to 535,296.29, 738,707.39 and 305,924.76 is: 422,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,296.29 : 738,707.39 = 305,924.76 : x
  2. Step 2: Convert to fraction form
    535,296.29/738,707.39 = 305,924.76/x
  3. Step 3: Cross multiply
    535,296.29x = 738,707.39 × 305,924.76
  4. Step 4: Simplify right side
    535,296.29x = 225,988,878,698.58
  5. Step 5: Solve for x
    x = 225,988,878,698.58/535,296.29
  6. Step 6: Final answer
    x = 422,175.31

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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.