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Finding the Fourth Proportional to 446,843.22, 616,642.38 and 242,894.10

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Solution

The fourth proportional to 446,843.22, 616,642.38 and 242,894.10 is: 335,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,843.22 : 616,642.38 = 242,894.10 : x
  2. Step 2: Convert to fraction form
    446,843.22/616,642.38 = 242,894.10/x
  3. Step 3: Cross multiply
    446,843.22x = 616,642.38 × 242,894.10
  4. Step 4: Simplify right side
    446,843.22x = 149,778,795,911.96
  5. Step 5: Solve for x
    x = 149,778,795,911.96/446,843.22
  6. Step 6: Final answer
    x = 335,193.17

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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.