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Finding the Fourth Proportional to 278,327.74, 417,014.44 and 186,971.93

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Solution

The fourth proportional to 278,327.74, 417,014.44 and 186,971.93 is: 280,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,327.74 : 417,014.44 = 186,971.93 : x
  2. Step 2: Convert to fraction form
    278,327.74/417,014.44 = 186,971.93/x
  3. Step 3: Cross multiply
    278,327.74x = 417,014.44 × 186,971.93
  4. Step 4: Simplify right side
    278,327.74x = 77,969,994,684.67
  5. Step 5: Solve for x
    x = 77,969,994,684.67/278,327.74
  6. Step 6: Final answer
    x = 280,137.35

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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.