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Finding the Fourth Proportional to 589,378.38, 812,698.56 and 398,059.62

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Solution

The fourth proportional to 589,378.38, 812,698.56 and 398,059.62 is: 548,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,378.38 : 812,698.56 = 398,059.62 : x
  2. Step 2: Convert to fraction form
    589,378.38/812,698.56 = 398,059.62/x
  3. Step 3: Cross multiply
    589,378.38x = 812,698.56 × 398,059.62
  4. Step 4: Simplify right side
    589,378.38x = 323,502,479,968.15
  5. Step 5: Solve for x
    x = 323,502,479,968.15/589,378.38
  6. Step 6: Final answer
    x = 548,887.59

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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.