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Finding the Fourth Proportional to 298,378, 447,567 and 101,386

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Solution

The fourth proportional to 298,378, 447,567 and 101,386 is: 152,079

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,378 : 447,567 = 101,386 : x
  2. Step 2: Convert to fraction form
    298,378/447,567 = 101,386/x
  3. Step 3: Cross multiply
    298,378x = 447,567 × 101,386
  4. Step 4: Simplify right side
    298,378x = 45,377,027,862
  5. Step 5: Solve for x
    x = 45,377,027,862/298,378
  6. Step 6: Final answer
    x = 152,079

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.