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Finding the Fourth Proportional to 269,077.74, 402,994.53 and 259,746.54

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Solution

The fourth proportional to 269,077.74, 402,994.53 and 259,746.54 is: 389,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,077.74 : 402,994.53 = 259,746.54 : x
  2. Step 2: Convert to fraction form
    269,077.74/402,994.53 = 259,746.54/x
  3. Step 3: Cross multiply
    269,077.74x = 402,994.53 × 259,746.54
  4. Step 4: Simplify right side
    269,077.74x = 104,676,434,806.43
  5. Step 5: Solve for x
    x = 104,676,434,806.43/269,077.74
  6. Step 6: Final answer
    x = 389,019.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.