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Finding the Fourth Proportional to 599,505.54, 827,307.63 and 327,567.48

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Solution

The fourth proportional to 599,505.54, 827,307.63 and 327,567.48 is: 452,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,505.54 : 827,307.63 = 327,567.48 : x
  2. Step 2: Convert to fraction form
    599,505.54/827,307.63 = 327,567.48/x
  3. Step 3: Cross multiply
    599,505.54x = 827,307.63 × 327,567.48
  4. Step 4: Simplify right side
    599,505.54x = 270,999,075,543.87
  5. Step 5: Solve for x
    x = 270,999,075,543.87/599,505.54
  6. Step 6: Final answer
    x = 452,037.65

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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.