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Finding the Fourth Proportional to 409,099.40, 613,211.70 and 184,421.60

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Solution

The fourth proportional to 409,099.40, 613,211.70 and 184,421.60 is: 276,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,099.40 : 613,211.70 = 184,421.60 : x
  2. Step 2: Convert to fraction form
    409,099.40/613,211.70 = 184,421.60/x
  3. Step 3: Cross multiply
    409,099.40x = 613,211.70 × 184,421.60
  4. Step 4: Simplify right side
    409,099.40x = 113,089,482,852.72
  5. Step 5: Solve for x
    x = 113,089,482,852.72/409,099.40
  6. Step 6: Final answer
    x = 276,435.22

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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.