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Finding the Fourth Proportional to 651,658.40, 978,362.40 and 416,045.60

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Solution

The fourth proportional to 651,658.40, 978,362.40 and 416,045.60 is: 624,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,658.40 : 978,362.40 = 416,045.60 : x
  2. Step 2: Convert to fraction form
    651,658.40/978,362.40 = 416,045.60/x
  3. Step 3: Cross multiply
    651,658.40x = 978,362.40 × 416,045.60
  4. Step 4: Simplify right side
    651,658.40x = 407,043,371,725.44
  5. Step 5: Solve for x
    x = 407,043,371,725.44/651,658.40
  6. Step 6: Final answer
    x = 624,626.91

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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.