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Finding the Fourth Proportional to 301,984.60, 452,975.22 and 77,344.60

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Solution

The fourth proportional to 301,984.60, 452,975.22 and 77,344.60 is: 116,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,984.60 : 452,975.22 = 77,344.60 : x
  2. Step 2: Convert to fraction form
    301,984.60/452,975.22 = 77,344.60/x
  3. Step 3: Cross multiply
    301,984.60x = 452,975.22 × 77,344.60
  4. Step 4: Simplify right side
    301,984.60x = 35,035,187,200.81
  5. Step 5: Solve for x
    x = 35,035,187,200.81/301,984.60
  6. Step 6: Final answer
    x = 116,016.47

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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.