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Finding the Fourth Proportional to 599,328.96, 827,099.10 and 344,680.34

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Solution

The fourth proportional to 599,328.96, 827,099.10 and 344,680.34 is: 475,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,328.96 : 827,099.10 = 344,680.34 : x
  2. Step 2: Convert to fraction form
    599,328.96/827,099.10 = 344,680.34/x
  3. Step 3: Cross multiply
    599,328.96x = 827,099.10 × 344,680.34
  4. Step 4: Simplify right side
    599,328.96x = 285,084,799,001.69
  5. Step 5: Solve for x
    x = 285,084,799,001.69/599,328.96
  6. Step 6: Final answer
    x = 475,673.32

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1.5x scale

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.