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Finding the Fourth Proportional to 300,212.47, 414,225.38 and 179,330.09

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Solution

The fourth proportional to 300,212.47, 414,225.38 and 179,330.09 is: 247,435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,212.47 : 414,225.38 = 179,330.09 : x
  2. Step 2: Convert to fraction form
    300,212.47/414,225.38 = 179,330.09/x
  3. Step 3: Cross multiply
    300,212.47x = 414,225.38 × 179,330.09
  4. Step 4: Simplify right side
    300,212.47x = 74,283,076,159.57
  5. Step 5: Solve for x
    x = 74,283,076,159.57/300,212.47
  6. Step 6: Final answer
    x = 247,435.01

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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.