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Finding the Fourth Proportional to 296,382.81, 444,620.52 and 96,656.75

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Solution

The fourth proportional to 296,382.81, 444,620.52 and 96,656.75 is: 145,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,382.81 : 444,620.52 = 96,656.75 : x
  2. Step 2: Convert to fraction form
    296,382.81/444,620.52 = 96,656.75/x
  3. Step 3: Cross multiply
    296,382.81x = 444,620.52 × 96,656.75
  4. Step 4: Simplify right side
    296,382.81x = 42,975,571,740.12
  5. Step 5: Solve for x
    x = 42,975,571,740.12/296,382.81
  6. Step 6: Final answer
    x = 145,000.22

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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.