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Finding the Fourth Proportional to 656,464.60, 984,102.90 and 456,880.60

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Solution

The fourth proportional to 656,464.60, 984,102.90 and 456,880.60 is: 684,907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,464.60 : 984,102.90 = 456,880.60 : x
  2. Step 2: Convert to fraction form
    656,464.60/984,102.90 = 456,880.60/x
  3. Step 3: Cross multiply
    656,464.60x = 984,102.90 × 456,880.60
  4. Step 4: Simplify right side
    656,464.60x = 449,617,523,413.74
  5. Step 5: Solve for x
    x = 449,617,523,413.74/656,464.60
  6. Step 6: Final answer
    x = 684,907.49

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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.