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Finding the Fourth Proportional to 519,667.84, 779,523.44 and 164,674

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Solution

The fourth proportional to 519,667.84, 779,523.44 and 164,674 is: 247,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,667.84 : 779,523.44 = 164,674 : x
  2. Step 2: Convert to fraction form
    519,667.84/779,523.44 = 164,674/x
  3. Step 3: Cross multiply
    519,667.84x = 779,523.44 × 164,674
  4. Step 4: Simplify right side
    519,667.84x = 128,367,242,958.56
  5. Step 5: Solve for x
    x = 128,367,242,958.56/519,667.84
  6. Step 6: Final answer
    x = 247,017.87

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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.