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Finding the Fourth Proportional to 446,534.85, 616,203.88 and 255,544.14

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Solution

The fourth proportional to 446,534.85, 616,203.88 and 255,544.14 is: 352,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,534.85 : 616,203.88 = 255,544.14 : x
  2. Step 2: Convert to fraction form
    446,534.85/616,203.88 = 255,544.14/x
  3. Step 3: Cross multiply
    446,534.85x = 616,203.88 × 255,544.14
  4. Step 4: Simplify right side
    446,534.85x = 157,467,289,940.40
  5. Step 5: Solve for x
    x = 157,467,289,940.40/446,534.85
  6. Step 6: Final answer
    x = 352,642.78

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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.