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Finding the Fourth Proportional to 512,582.85, 706,896.32 and 391,499.19

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Solution

The fourth proportional to 512,582.85, 706,896.32 and 391,499.19 is: 539,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,582.85 : 706,896.32 = 391,499.19 : x
  2. Step 2: Convert to fraction form
    512,582.85/706,896.32 = 391,499.19/x
  3. Step 3: Cross multiply
    512,582.85x = 706,896.32 × 391,499.19
  4. Step 4: Simplify right side
    512,582.85x = 276,749,334,736.49
  5. Step 5: Solve for x
    x = 276,749,334,736.49/512,582.85
  6. Step 6: Final answer
    x = 539,911.42

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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.