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Finding the Fourth Proportional to 599,580.16, 827,040.10 and 456,025.48

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Solution

The fourth proportional to 599,580.16, 827,040.10 and 456,025.48 is: 629,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,580.16 : 827,040.10 = 456,025.48 : x
  2. Step 2: Convert to fraction form
    599,580.16/827,040.10 = 456,025.48/x
  3. Step 3: Cross multiply
    599,580.16x = 827,040.10 × 456,025.48
  4. Step 4: Simplify right side
    599,580.16x = 377,151,358,581.75
  5. Step 5: Solve for x
    x = 377,151,358,581.75/599,580.16
  6. Step 6: Final answer
    x = 629,025.75

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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.