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Finding the Fourth Proportional to 300,573.24, 414,719.88 and 178,003.72

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Solution

The fourth proportional to 300,573.24, 414,719.88 and 178,003.72 is: 245,602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,573.24 : 414,719.88 = 178,003.72 : x
  2. Step 2: Convert to fraction form
    300,573.24/414,719.88 = 178,003.72/x
  3. Step 3: Cross multiply
    300,573.24x = 414,719.88 × 178,003.72
  4. Step 4: Simplify right side
    300,573.24x = 73,821,681,397.95
  5. Step 5: Solve for x
    x = 73,821,681,397.95/300,573.24
  6. Step 6: Final answer
    x = 245,602.97

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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.