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Finding the Fourth Proportional to 414,970.44, 622,232.88 and 130,607.76

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Solution

The fourth proportional to 414,970.44, 622,232.88 and 130,607.76 is: 195,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,970.44 : 622,232.88 = 130,607.76 : x
  2. Step 2: Convert to fraction form
    414,970.44/622,232.88 = 130,607.76/x
  3. Step 3: Cross multiply
    414,970.44x = 622,232.88 × 130,607.76
  4. Step 4: Simplify right side
    414,970.44x = 81,268,442,655.15
  5. Step 5: Solve for x
    x = 81,268,442,655.15/414,970.44
  6. Step 6: Final answer
    x = 195,841.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.