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Finding the Fourth Proportional to 599,587.80, 827,441.37 and 357,823.46

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Solution

The fourth proportional to 599,587.80, 827,441.37 and 357,823.46 is: 493,802.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,587.80 : 827,441.37 = 357,823.46 : x
  2. Step 2: Convert to fraction form
    599,587.80/827,441.37 = 357,823.46/x
  3. Step 3: Cross multiply
    599,587.80x = 827,441.37 × 357,823.46
  4. Step 4: Simplify right side
    599,587.80x = 296,077,929,823.33
  5. Step 5: Solve for x
    x = 296,077,929,823.33/599,587.80
  6. Step 6: Final answer
    x = 493,802.46

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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.