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Finding the Fourth Proportional to 651,712.40, 978,443.40 and 416,099.60

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Solution

The fourth proportional to 651,712.40, 978,443.40 and 416,099.60 is: 624,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,712.40 : 978,443.40 = 416,099.60 : x
  2. Step 2: Convert to fraction form
    651,712.40/978,443.40 = 416,099.60/x
  3. Step 3: Cross multiply
    651,712.40x = 978,443.40 × 416,099.60
  4. Step 4: Simplify right side
    651,712.40x = 407,129,907,362.64
  5. Step 5: Solve for x
    x = 407,129,907,362.64/651,712.40
  6. Step 6: Final answer
    x = 624,707.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.