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Finding the Fourth Proportional to 510,183.90, 705,024.81 and 382,638.06

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Solution

The fourth proportional to 510,183.90, 705,024.81 and 382,638.06 is: 528,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,183.90 : 705,024.81 = 382,638.06 : x
  2. Step 2: Convert to fraction form
    510,183.90/705,024.81 = 382,638.06/x
  3. Step 3: Cross multiply
    510,183.90x = 705,024.81 × 382,638.06
  4. Step 4: Simplify right side
    510,183.90x = 269,769,325,550.27
  5. Step 5: Solve for x
    x = 269,769,325,550.27/510,183.90
  6. Step 6: Final answer
    x = 528,768.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.