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Finding the Fourth Proportional to 298,263.42, 447,300.36 and 98,546.58

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Solution

The fourth proportional to 298,263.42, 447,300.36 and 98,546.58 is: 147,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,263.42 : 447,300.36 = 98,546.58 : x
  2. Step 2: Convert to fraction form
    298,263.42/447,300.36 = 98,546.58/x
  3. Step 3: Cross multiply
    298,263.42x = 447,300.36 × 98,546.58
  4. Step 4: Simplify right side
    298,263.42x = 44,079,920,710.77
  5. Step 5: Solve for x
    x = 44,079,920,710.77/298,263.42
  6. Step 6: Final answer
    x = 147,788.56

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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.