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Finding the Fourth Proportional to 301,265.28, 451,347.12 and 141,047.28

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Solution

The fourth proportional to 301,265.28, 451,347.12 and 141,047.28 is: 211,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,265.28 : 451,347.12 = 141,047.28 : x
  2. Step 2: Convert to fraction form
    301,265.28/451,347.12 = 141,047.28/x
  3. Step 3: Cross multiply
    301,265.28x = 451,347.12 × 141,047.28
  4. Step 4: Simplify right side
    301,265.28x = 63,661,283,611.83
  5. Step 5: Solve for x
    x = 63,661,283,611.83/301,265.28
  6. Step 6: Final answer
    x = 211,313.04

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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.