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Finding the Fourth Proportional to 796,820.16, 1,099,584 and 434,236.68

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Solution

The fourth proportional to 796,820.16, 1,099,584 and 434,236.68 is: 599,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,820.16 : 1,099,584 = 434,236.68 : x
  2. Step 2: Convert to fraction form
    796,820.16/1,099,584 = 434,236.68/x
  3. Step 3: Cross multiply
    796,820.16x = 1,099,584 × 434,236.68
  4. Step 4: Simplify right side
    796,820.16x = 477,479,705,541.12
  5. Step 5: Solve for x
    x = 477,479,705,541.12/796,820.16
  6. Step 6: Final answer
    x = 599,231.46

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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.