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Finding the Fourth Proportional to 416,245.60, 624,368.40 and 416,245.60

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Solution

The fourth proportional to 416,245.60, 624,368.40 and 416,245.60 is: 624,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,245.60 : 624,368.40 = 416,245.60 : x
  2. Step 2: Convert to fraction form
    416,245.60/624,368.40 = 416,245.60/x
  3. Step 3: Cross multiply
    416,245.60x = 624,368.40 × 416,245.60
  4. Step 4: Simplify right side
    416,245.60x = 259,890,599,279.04
  5. Step 5: Solve for x
    x = 259,890,599,279.04/416,245.60
  6. Step 6: Final answer
    x = 624,368.40

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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.