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Finding the Fourth Proportional to 599,330, 827,075.40 and 331,058

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Solution

The fourth proportional to 599,330, 827,075.40 and 331,058 is: 456,860.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,330 : 827,075.40 = 331,058 : x
  2. Step 2: Convert to fraction form
    599,330/827,075.40 = 331,058/x
  3. Step 3: Cross multiply
    599,330x = 827,075.40 × 331,058
  4. Step 4: Simplify right side
    599,330x = 273,809,927,773.20
  5. Step 5: Solve for x
    x = 273,809,927,773.20/599,330
  6. Step 6: Final answer
    x = 456,860.04

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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.