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Finding the Fourth Proportional to 308,564.70, 462,847.05 and 189,851.10

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Solution

The fourth proportional to 308,564.70, 462,847.05 and 189,851.10 is: 284,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,564.70 : 462,847.05 = 189,851.10 : x
  2. Step 2: Convert to fraction form
    308,564.70/462,847.05 = 189,851.10/x
  3. Step 3: Cross multiply
    308,564.70x = 462,847.05 × 189,851.10
  4. Step 4: Simplify right side
    308,564.70x = 87,872,021,574.26
  5. Step 5: Solve for x
    x = 87,872,021,574.26/308,564.70
  6. Step 6: Final answer
    x = 284,776.65

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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.