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Finding the Fourth Proportional to 477,954.98, 716,863.26 and 140,978.98

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Solution

The fourth proportional to 477,954.98, 716,863.26 and 140,978.98 is: 211,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,954.98 : 716,863.26 = 140,978.98 : x
  2. Step 2: Convert to fraction form
    477,954.98/716,863.26 = 140,978.98/x
  3. Step 3: Cross multiply
    477,954.98x = 716,863.26 × 140,978.98
  4. Step 4: Simplify right side
    477,954.98x = 101,062,652,619.03
  5. Step 5: Solve for x
    x = 101,062,652,619.03/477,954.98
  6. Step 6: Final answer
    x = 211,448.06

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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.