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Finding the Fourth Proportional to 308,644.69, 463,011.40 and 95,429.23

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Solution

The fourth proportional to 308,644.69, 463,011.40 and 95,429.23 is: 143,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,644.69 : 463,011.40 = 95,429.23 : x
  2. Step 2: Convert to fraction form
    308,644.69/463,011.40 = 95,429.23/x
  3. Step 3: Cross multiply
    308,644.69x = 463,011.40 × 95,429.23
  4. Step 4: Simplify right side
    308,644.69x = 44,184,821,383.22
  5. Step 5: Solve for x
    x = 44,184,821,383.22/308,644.69
  6. Step 6: Final answer
    x = 143,157.56

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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.