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Finding the Fourth Proportional to 406,765.67, 561,146.77 and 255,945.83

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Solution

The fourth proportional to 406,765.67, 561,146.77 and 255,945.83 is: 353,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,765.67 : 561,146.77 = 255,945.83 : x
  2. Step 2: Convert to fraction form
    406,765.67/561,146.77 = 255,945.83/x
  3. Step 3: Cross multiply
    406,765.67x = 561,146.77 × 255,945.83
  4. Step 4: Simplify right side
    406,765.67x = 143,623,175,799.47
  5. Step 5: Solve for x
    x = 143,623,175,799.47/406,765.67
  6. Step 6: Final answer
    x = 353,085.78

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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.