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Finding the Fourth Proportional to 446,971, 670,877.85 and 162,936.07

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Solution

The fourth proportional to 446,971, 670,877.85 and 162,936.07 is: 244,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,971 : 670,877.85 = 162,936.07 : x
  2. Step 2: Convert to fraction form
    446,971/670,877.85 = 162,936.07/x
  3. Step 3: Cross multiply
    446,971x = 670,877.85 × 162,936.07
  4. Step 4: Simplify right side
    446,971x = 109,310,200,329.05
  5. Step 5: Solve for x
    x = 109,310,200,329.05/446,971
  6. Step 6: Final answer
    x = 244,557.70

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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.