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Finding the Fourth Proportional to 444,424.14, 666,719.16 and 178,205.49

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Solution

The fourth proportional to 444,424.14, 666,719.16 and 178,205.49 is: 267,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,424.14 : 666,719.16 = 178,205.49 : x
  2. Step 2: Convert to fraction form
    444,424.14/666,719.16 = 178,205.49/x
  3. Step 3: Cross multiply
    444,424.14x = 666,719.16 × 178,205.49
  4. Step 4: Simplify right side
    444,424.14x = 118,813,014,600.19
  5. Step 5: Solve for x
    x = 118,813,014,600.19/444,424.14
  6. Step 6: Final answer
    x = 267,341.50

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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.