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Finding the Fourth Proportional to 599,969.77, 827,971.25 and 358,207.25

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Solution

The fourth proportional to 599,969.77, 827,971.25 and 358,207.25 is: 494,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,969.77 : 827,971.25 = 358,207.25 : x
  2. Step 2: Convert to fraction form
    599,969.77/827,971.25 = 358,207.25/x
  3. Step 3: Cross multiply
    599,969.77x = 827,971.25 × 358,207.25
  4. Step 4: Simplify right side
    599,969.77x = 296,585,298,610.67
  5. Step 5: Solve for x
    x = 296,585,298,610.67/599,969.77
  6. Step 6: Final answer
    x = 494,333.74

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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.