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Finding the Fourth Proportional to 314,257.59, 433,685.31 and 178,297.27

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Solution

The fourth proportional to 314,257.59, 433,685.31 and 178,297.27 is: 246,055.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,257.59 : 433,685.31 = 178,297.27 : x
  2. Step 2: Convert to fraction form
    314,257.59/433,685.31 = 178,297.27/x
  3. Step 3: Cross multiply
    314,257.59x = 433,685.31 × 178,297.27
  4. Step 4: Simplify right side
    314,257.59x = 77,324,905,059.28
  5. Step 5: Solve for x
    x = 77,324,905,059.28/314,257.59
  6. Step 6: Final answer
    x = 246,055.81

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1.5x scale

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.