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Finding the Fourth Proportional to 253,432.46, 380,233.14 and 84,969.44

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Solution

The fourth proportional to 253,432.46, 380,233.14 and 84,969.44 is: 127,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,432.46 : 380,233.14 = 84,969.44 : x
  2. Step 2: Convert to fraction form
    253,432.46/380,233.14 = 84,969.44/x
  3. Step 3: Cross multiply
    253,432.46x = 380,233.14 × 84,969.44
  4. Step 4: Simplify right side
    253,432.46x = 32,308,196,975.24
  5. Step 5: Solve for x
    x = 32,308,196,975.24/253,432.46
  6. Step 6: Final answer
    x = 127,482.47

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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.