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Finding the Fourth Proportional to 599,643.12, 827,609.88 and 357,938.16

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Solution

The fourth proportional to 599,643.12, 827,609.88 and 357,938.16 is: 494,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,643.12 : 827,609.88 = 357,938.16 : x
  2. Step 2: Convert to fraction form
    599,643.12/827,609.88 = 357,938.16/x
  3. Step 3: Cross multiply
    599,643.12x = 827,609.88 × 357,938.16
  4. Step 4: Simplify right side
    599,643.12x = 296,233,157,645.02
  5. Step 5: Solve for x
    x = 296,233,157,645.02/599,643.12
  6. Step 6: Final answer
    x = 494,015.77

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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.