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Finding the Fourth Proportional to 314,737.44, 472,245.72 and 164,942.12

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Solution

The fourth proportional to 314,737.44, 472,245.72 and 164,942.12 is: 247,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,737.44 : 472,245.72 = 164,942.12 : x
  2. Step 2: Convert to fraction form
    314,737.44/472,245.72 = 164,942.12/x
  3. Step 3: Cross multiply
    314,737.44x = 472,245.72 × 164,942.12
  4. Step 4: Simplify right side
    314,737.44x = 77,893,210,217.73
  5. Step 5: Solve for x
    x = 77,893,210,217.73/314,737.44
  6. Step 6: Final answer
    x = 247,486.32

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1.5x scale

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.