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Finding the Fourth Proportional to 651,734.40, 978,476.40 and 416,121.60

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Solution

The fourth proportional to 651,734.40, 978,476.40 and 416,121.60 is: 624,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,734.40 : 978,476.40 = 416,121.60 : x
  2. Step 2: Convert to fraction form
    651,734.40/978,476.40 = 416,121.60/x
  3. Step 3: Cross multiply
    651,734.40x = 978,476.40 × 416,121.60
  4. Step 4: Simplify right side
    651,734.40x = 407,165,165,130.24
  5. Step 5: Solve for x
    x = 407,165,165,130.24/651,734.40
  6. Step 6: Final answer
    x = 624,740.95

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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.