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Finding the Fourth Proportional to 314,735.23, 472,242.42 and 164,939.92

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Solution

The fourth proportional to 314,735.23, 472,242.42 and 164,939.92 is: 247,483.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,735.23 : 472,242.42 = 164,939.92 : x
  2. Step 2: Convert to fraction form
    314,735.23/472,242.42 = 164,939.92/x
  3. Step 3: Cross multiply
    314,735.23x = 472,242.42 × 164,939.92
  4. Step 4: Simplify right side
    314,735.23x = 77,891,626,975.41
  5. Step 5: Solve for x
    x = 77,891,626,975.41/314,735.23
  6. Step 6: Final answer
    x = 247,483.03

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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.