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Finding the Fourth Proportional to 273,993, 410,989.50 and 77,001

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Solution

The fourth proportional to 273,993, 410,989.50 and 77,001 is: 115,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,993 : 410,989.50 = 77,001 : x
  2. Step 2: Convert to fraction form
    273,993/410,989.50 = 77,001/x
  3. Step 3: Cross multiply
    273,993x = 410,989.50 × 77,001
  4. Step 4: Simplify right side
    273,993x = 31,646,602,489.50
  5. Step 5: Solve for x
    x = 31,646,602,489.50/273,993
  6. Step 6: Final answer
    x = 115,501.50

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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.