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Finding the Fourth Proportional to 270,433, 405,563.23 and 92,897.20

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Solution

The fourth proportional to 270,433, 405,563.23 and 92,897.20 is: 139,316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,433 : 405,563.23 = 92,897.20 : x
  2. Step 2: Convert to fraction form
    270,433/405,563.23 = 92,897.20/x
  3. Step 3: Cross multiply
    270,433x = 405,563.23 × 92,897.20
  4. Step 4: Simplify right side
    270,433x = 37,675,688,489.96
  5. Step 5: Solve for x
    x = 37,675,688,489.96/270,433
  6. Step 6: Final answer
    x = 139,316.17

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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.