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Finding the Fourth Proportional to 519,346.85, 779,133.26 and 164,363.94

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Solution

The fourth proportional to 519,346.85, 779,133.26 and 164,363.94 is: 246,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,346.85 : 779,133.26 = 164,363.94 : x
  2. Step 2: Convert to fraction form
    519,346.85/779,133.26 = 164,363.94/x
  3. Step 3: Cross multiply
    519,346.85x = 779,133.26 × 164,363.94
  4. Step 4: Simplify right side
    519,346.85x = 128,061,412,398.64
  5. Step 5: Solve for x
    x = 128,061,412,398.64/519,346.85
  6. Step 6: Final answer
    x = 246,581.67

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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.