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Finding the Fourth Proportional to 298,166.39, 410,430.82 and 259,860.09

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Solution

The fourth proportional to 298,166.39, 410,430.82 and 259,860.09 is: 357,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,166.39 : 410,430.82 = 259,860.09 : x
  2. Step 2: Convert to fraction form
    298,166.39/410,430.82 = 259,860.09/x
  3. Step 3: Cross multiply
    298,166.39x = 410,430.82 × 259,860.09
  4. Step 4: Simplify right side
    298,166.39x = 106,654,589,823.97
  5. Step 5: Solve for x
    x = 106,654,589,823.97/298,166.39
  6. Step 6: Final answer
    x = 357,701.58

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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.