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Finding the Fourth Proportional to 683,107.84, 942,685.20 and 396,698.32

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Solution

The fourth proportional to 683,107.84, 942,685.20 and 396,698.32 is: 547,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,107.84 : 942,685.20 = 396,698.32 : x
  2. Step 2: Convert to fraction form
    683,107.84/942,685.20 = 396,698.32/x
  3. Step 3: Cross multiply
    683,107.84x = 942,685.20 × 396,698.32
  4. Step 4: Simplify right side
    683,107.84x = 373,961,635,128.86
  5. Step 5: Solve for x
    x = 373,961,635,128.86/683,107.84
  6. Step 6: Final answer
    x = 547,441.58

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Double scale
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1.5x scale

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.