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Finding the Fourth Proportional to 309,505.42, 464,239.02 and 109,799.50

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Solution

The fourth proportional to 309,505.42, 464,239.02 and 109,799.50 is: 164,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,505.42 : 464,239.02 = 109,799.50 : x
  2. Step 2: Convert to fraction form
    309,505.42/464,239.02 = 109,799.50/x
  3. Step 3: Cross multiply
    309,505.42x = 464,239.02 × 109,799.50
  4. Step 4: Simplify right side
    309,505.42x = 50,973,212,276.49
  5. Step 5: Solve for x
    x = 50,973,212,276.49/309,505.42
  6. Step 6: Final answer
    x = 164,692.47

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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.