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Finding the Fourth Proportional to 678,583.40, 948,772.60 and 678,583.40

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Solution

The fourth proportional to 678,583.40, 948,772.60 and 678,583.40 is: 948,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,583.40 : 948,772.60 = 678,583.40 : x
  2. Step 2: Convert to fraction form
    678,583.40/948,772.60 = 678,583.40/x
  3. Step 3: Cross multiply
    678,583.40x = 948,772.60 × 678,583.40
  4. Step 4: Simplify right side
    678,583.40x = 643,821,336,734.84
  5. Step 5: Solve for x
    x = 643,821,336,734.84/678,583.40
  6. Step 6: Final answer
    x = 948,772.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.