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Finding the Fourth Proportional to 322,075.20, 482,620.16 and 134,984.64

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Solution

The fourth proportional to 322,075.20, 482,620.16 and 134,984.64 is: 202,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,075.20 : 482,620.16 = 134,984.64 : x
  2. Step 2: Convert to fraction form
    322,075.20/482,620.16 = 134,984.64/x
  3. Step 3: Cross multiply
    322,075.20x = 482,620.16 × 134,984.64
  4. Step 4: Simplify right side
    322,075.20x = 65,146,308,554.34
  5. Step 5: Solve for x
    x = 65,146,308,554.34/322,075.20
  6. Step 6: Final answer
    x = 202,270.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.