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Finding the Fourth Proportional to 684,928.32, 945,149.76 and 383,064

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Solution

The fourth proportional to 684,928.32, 945,149.76 and 383,064 is: 528,599.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,928.32 : 945,149.76 = 383,064 : x
  2. Step 2: Convert to fraction form
    684,928.32/945,149.76 = 383,064/x
  3. Step 3: Cross multiply
    684,928.32x = 945,149.76 × 383,064
  4. Step 4: Simplify right side
    684,928.32x = 362,052,847,664.64
  5. Step 5: Solve for x
    x = 362,052,847,664.64/684,928.32
  6. Step 6: Final answer
    x = 528,599.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.