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Finding the Fourth Proportional to 297,531.60, 410,593.14 and 163,395.60

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Solution

The fourth proportional to 297,531.60, 410,593.14 and 163,395.60 is: 225,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,531.60 : 410,593.14 = 163,395.60 : x
  2. Step 2: Convert to fraction form
    297,531.60/410,593.14 = 163,395.60/x
  3. Step 3: Cross multiply
    297,531.60x = 410,593.14 × 163,395.60
  4. Step 4: Simplify right side
    297,531.60x = 67,089,112,466.18
  5. Step 5: Solve for x
    x = 67,089,112,466.18/297,531.60
  6. Step 6: Final answer
    x = 225,485.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.