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Finding the Fourth Proportional to 599,588.80, 827,442.75 and 357,824.46

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Solution

The fourth proportional to 599,588.80, 827,442.75 and 357,824.46 is: 493,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,588.80 : 827,442.75 = 357,824.46 : x
  2. Step 2: Convert to fraction form
    599,588.80/827,442.75 = 357,824.46/x
  3. Step 3: Cross multiply
    599,588.80x = 827,442.75 × 357,824.46
  4. Step 4: Simplify right side
    599,588.80x = 296,079,255,199.67
  5. Step 5: Solve for x
    x = 296,079,255,199.67/599,588.80
  6. Step 6: Final answer
    x = 493,803.85

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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.