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Finding the Fourth Proportional to 601,075.78, 829,485.98 and 329,161.48

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Solution

The fourth proportional to 601,075.78, 829,485.98 and 329,161.48 is: 454,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,075.78 : 829,485.98 = 329,161.48 : x
  2. Step 2: Convert to fraction form
    601,075.78/829,485.98 = 329,161.48/x
  3. Step 3: Cross multiply
    601,075.78x = 829,485.98 × 329,161.48
  4. Step 4: Simplify right side
    601,075.78x = 273,034,832,816.05
  5. Step 5: Solve for x
    x = 273,034,832,816.05/601,075.78
  6. Step 6: Final answer
    x = 454,243.61

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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.