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Finding the Fourth Proportional to 281,322.98, 421,692.87 and 175,899.86

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Solution

The fourth proportional to 281,322.98, 421,692.87 and 175,899.86 is: 263,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,322.98 : 421,692.87 = 175,899.86 : x
  2. Step 2: Convert to fraction form
    281,322.98/421,692.87 = 175,899.86/x
  3. Step 3: Cross multiply
    281,322.98x = 421,692.87 × 175,899.86
  4. Step 4: Simplify right side
    281,322.98x = 74,175,716,796.00
  5. Step 5: Solve for x
    x = 74,175,716,796.00/281,322.98
  6. Step 6: Final answer
    x = 263,667.46

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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.