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Finding the Fourth Proportional to 543,698.71, 750,283.31 and 301,996.68

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Solution

The fourth proportional to 543,698.71, 750,283.31 and 301,996.68 is: 416,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,698.71 : 750,283.31 = 301,996.68 : x
  2. Step 2: Convert to fraction form
    543,698.71/750,283.31 = 301,996.68/x
  3. Step 3: Cross multiply
    543,698.71x = 750,283.31 × 301,996.68
  4. Step 4: Simplify right side
    543,698.71x = 226,583,068,679.41
  5. Step 5: Solve for x
    x = 226,583,068,679.41/543,698.71
  6. Step 6: Final answer
    x = 416,743.81

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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.