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Finding the Fourth Proportional to 546,809.63, 820,257.39 and 147,444.39

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Solution

The fourth proportional to 546,809.63, 820,257.39 and 147,444.39 is: 221,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,809.63 : 820,257.39 = 147,444.39 : x
  2. Step 2: Convert to fraction form
    546,809.63/820,257.39 = 147,444.39/x
  3. Step 3: Cross multiply
    546,809.63x = 820,257.39 × 147,444.39
  4. Step 4: Simplify right side
    546,809.63x = 120,942,350,511.54
  5. Step 5: Solve for x
    x = 120,942,350,511.54/546,809.63
  6. Step 6: Final answer
    x = 221,178.17

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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.