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Finding the Fourth Proportional to 416,243.60, 624,581.40 and 194,627.60

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Solution

The fourth proportional to 416,243.60, 624,581.40 and 194,627.60 is: 292,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,243.60 : 624,581.40 = 194,627.60 : x
  2. Step 2: Convert to fraction form
    416,243.60/624,581.40 = 194,627.60/x
  3. Step 3: Cross multiply
    416,243.60x = 624,581.40 × 194,627.60
  4. Step 4: Simplify right side
    416,243.60x = 121,560,778,886.64
  5. Step 5: Solve for x
    x = 121,560,778,886.64/416,243.60
  6. Step 6: Final answer
    x = 292,042.40

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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.