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Finding the Fourth Proportional to 416,099.60, 624,365.40 and 194,483.60

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Solution

The fourth proportional to 416,099.60, 624,365.40 and 194,483.60 is: 291,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,099.60 : 624,365.40 = 194,483.60 : x
  2. Step 2: Convert to fraction form
    416,099.60/624,365.40 = 194,483.60/x
  3. Step 3: Cross multiply
    416,099.60x = 624,365.40 × 194,483.60
  4. Step 4: Simplify right side
    416,099.60x = 121,428,830,707.44
  5. Step 5: Solve for x
    x = 121,428,830,707.44/416,099.60
  6. Step 6: Final answer
    x = 291,826.36

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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.