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Finding the Fourth Proportional to 275,304.83, 412,678.40 and 186,567.30

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Solution

The fourth proportional to 275,304.83, 412,678.40 and 186,567.30 is: 279,661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,304.83 : 412,678.40 = 186,567.30 : x
  2. Step 2: Convert to fraction form
    275,304.83/412,678.40 = 186,567.30/x
  3. Step 3: Cross multiply
    275,304.83x = 412,678.40 × 186,567.30
  4. Step 4: Simplify right side
    275,304.83x = 76,992,293,923.48
  5. Step 5: Solve for x
    x = 76,992,293,923.48/275,304.83
  6. Step 6: Final answer
    x = 279,661.99

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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.