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Finding the Fourth Proportional to 270,378, 405,567 and 73,386

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Solution

The fourth proportional to 270,378, 405,567 and 73,386 is: 110,079

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,378 : 405,567 = 73,386 : x
  2. Step 2: Convert to fraction form
    270,378/405,567 = 73,386/x
  3. Step 3: Cross multiply
    270,378x = 405,567 × 73,386
  4. Step 4: Simplify right side
    270,378x = 29,762,939,862
  5. Step 5: Solve for x
    x = 29,762,939,862/270,378
  6. Step 6: Final answer
    x = 110,079

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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.