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Finding the Fourth Proportional to 298,697.40, 448,046.10 and 278,868.60

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Solution

The fourth proportional to 298,697.40, 448,046.10 and 278,868.60 is: 418,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,697.40 : 448,046.10 = 278,868.60 : x
  2. Step 2: Convert to fraction form
    298,697.40/448,046.10 = 278,868.60/x
  3. Step 3: Cross multiply
    298,697.40x = 448,046.10 × 278,868.60
  4. Step 4: Simplify right side
    298,697.40x = 124,945,988,642.46
  5. Step 5: Solve for x
    x = 124,945,988,642.46/298,697.40
  6. Step 6: Final answer
    x = 418,302.90

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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.