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Finding the Fourth Proportional to 314,468.70, 434,005.02 and 178,544.94

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Solution

The fourth proportional to 314,468.70, 434,005.02 and 178,544.94 is: 246,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,468.70 : 434,005.02 = 178,544.94 : x
  2. Step 2: Convert to fraction form
    314,468.70/434,005.02 = 178,544.94/x
  3. Step 3: Cross multiply
    314,468.70x = 434,005.02 × 178,544.94
  4. Step 4: Simplify right side
    314,468.70x = 77,489,400,255.60
  5. Step 5: Solve for x
    x = 77,489,400,255.60/314,468.70
  6. Step 6: Final answer
    x = 246,413.71

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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.