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Finding the Fourth Proportional to 298,694.40, 448,041.60 and 278,865.60

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Solution

The fourth proportional to 298,694.40, 448,041.60 and 278,865.60 is: 418,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,694.40 : 448,041.60 = 278,865.60 : x
  2. Step 2: Convert to fraction form
    298,694.40/448,041.60 = 278,865.60/x
  3. Step 3: Cross multiply
    298,694.40x = 448,041.60 × 278,865.60
  4. Step 4: Simplify right side
    298,694.40x = 124,943,389,608.96
  5. Step 5: Solve for x
    x = 124,943,389,608.96/298,694.40
  6. Step 6: Final answer
    x = 418,298.40

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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.