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Finding the Fourth Proportional to 314,737.93, 472,246.43 and 164,942.60

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Solution

The fourth proportional to 314,737.93, 472,246.43 and 164,942.60 is: 247,487.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,737.93 : 472,246.43 = 164,942.60 : x
  2. Step 2: Convert to fraction form
    314,737.93/472,246.43 = 164,942.60/x
  3. Step 3: Cross multiply
    314,737.93x = 472,246.43 × 164,942.60
  4. Step 4: Simplify right side
    314,737.93x = 77,893,554,004.92
  5. Step 5: Solve for x
    x = 77,893,554,004.92/314,737.93
  6. Step 6: Final answer
    x = 247,487.03

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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.