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Finding the Fourth Proportional to 599,478.96, 826,320.08 and 405,825.60

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Solution

The fourth proportional to 599,478.96, 826,320.08 and 405,825.60 is: 559,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,478.96 : 826,320.08 = 405,825.60 : x
  2. Step 2: Convert to fraction form
    599,478.96/826,320.08 = 405,825.60/x
  3. Step 3: Cross multiply
    599,478.96x = 826,320.08 × 405,825.60
  4. Step 4: Simplify right side
    599,478.96x = 335,341,842,258.05
  5. Step 5: Solve for x
    x = 335,341,842,258.05/599,478.96
  6. Step 6: Final answer
    x = 559,388.84

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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.