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Finding the Fourth Proportional to 519,668.84, 779,524.94 and 164,675

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Solution

The fourth proportional to 519,668.84, 779,524.94 and 164,675 is: 247,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,668.84 : 779,524.94 = 164,675 : x
  2. Step 2: Convert to fraction form
    519,668.84/779,524.94 = 164,675/x
  3. Step 3: Cross multiply
    519,668.84x = 779,524.94 × 164,675
  4. Step 4: Simplify right side
    519,668.84x = 128,368,269,494.50
  5. Step 5: Solve for x
    x = 128,368,269,494.50/519,668.84
  6. Step 6: Final answer
    x = 247,019.37

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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.