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Finding the Fourth Proportional to 298,551.66, 446,775.71 and 186,284.76

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Solution

The fourth proportional to 298,551.66, 446,775.71 and 186,284.76 is: 278,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,551.66 : 446,775.71 = 186,284.76 : x
  2. Step 2: Convert to fraction form
    298,551.66/446,775.71 = 186,284.76/x
  3. Step 3: Cross multiply
    298,551.66x = 446,775.71 × 186,284.76
  4. Step 4: Simplify right side
    298,551.66x = 83,227,504,979.76
  5. Step 5: Solve for x
    x = 83,227,504,979.76/298,551.66
  6. Step 6: Final answer
    x = 278,770.87

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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.