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Finding the Fourth Proportional to 384,100.65, 575,825.63 and 159,320.79

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Solution

The fourth proportional to 384,100.65, 575,825.63 and 159,320.79 is: 238,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,100.65 : 575,825.63 = 159,320.79 : x
  2. Step 2: Convert to fraction form
    384,100.65/575,825.63 = 159,320.79/x
  3. Step 3: Cross multiply
    384,100.65x = 575,825.63 × 159,320.79
  4. Step 4: Simplify right side
    384,100.65x = 91,740,993,477.24
  5. Step 5: Solve for x
    x = 91,740,993,477.24/384,100.65
  6. Step 6: Final answer
    x = 238,846.23

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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.