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Finding the Fourth Proportional to 512,594.64, 769,056.48 and 246,374.46

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Solution

The fourth proportional to 512,594.64, 769,056.48 and 246,374.46 is: 369,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,594.64 : 769,056.48 = 246,374.46 : x
  2. Step 2: Convert to fraction form
    512,594.64/769,056.48 = 246,374.46/x
  3. Step 3: Cross multiply
    512,594.64x = 769,056.48 × 246,374.46
  4. Step 4: Simplify right side
    512,594.64x = 189,475,874,969.50
  5. Step 5: Solve for x
    x = 189,475,874,969.50/512,594.64
  6. Step 6: Final answer
    x = 369,640.77

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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.