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Finding the Fourth Proportional to 468,907.98, 703,448.37 and 153,382.38

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Solution

The fourth proportional to 468,907.98, 703,448.37 and 153,382.38 is: 230,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,907.98 : 703,448.37 = 153,382.38 : x
  2. Step 2: Convert to fraction form
    468,907.98/703,448.37 = 153,382.38/x
  3. Step 3: Cross multiply
    468,907.98x = 703,448.37 × 153,382.38
  4. Step 4: Simplify right side
    468,907.98x = 107,896,585,197.72
  5. Step 5: Solve for x
    x = 107,896,585,197.72/468,907.98
  6. Step 6: Final answer
    x = 230,101.83

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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.