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Finding the Fourth Proportional to 601,743.69, 830,415.38 and 329,809.41

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Solution

The fourth proportional to 601,743.69, 830,415.38 and 329,809.41 is: 455,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,743.69 : 830,415.38 = 329,809.41 : x
  2. Step 2: Convert to fraction form
    601,743.69/830,415.38 = 329,809.41/x
  3. Step 3: Cross multiply
    601,743.69x = 830,415.38 × 329,809.41
  4. Step 4: Simplify right side
    601,743.69x = 273,878,806,532.73
  5. Step 5: Solve for x
    x = 273,878,806,532.73/601,743.69
  6. Step 6: Final answer
    x = 455,141.97

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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.