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Finding the Fourth Proportional to 437,462.64, 656,172.09 and 171,271.98

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Solution

The fourth proportional to 437,462.64, 656,172.09 and 171,271.98 is: 256,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,462.64 : 656,172.09 = 171,271.98 : x
  2. Step 2: Convert to fraction form
    437,462.64/656,172.09 = 171,271.98/x
  3. Step 3: Cross multiply
    437,462.64x = 656,172.09 × 171,271.98
  4. Step 4: Simplify right side
    437,462.64x = 112,383,893,075.04
  5. Step 5: Solve for x
    x = 112,383,893,075.04/437,462.64
  6. Step 6: Final answer
    x = 256,899.41

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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.