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Finding the Fourth Proportional to 321,894.48, 482,653.44 and 97,187.52

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Solution

The fourth proportional to 321,894.48, 482,653.44 and 97,187.52 is: 145,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,894.48 : 482,653.44 = 97,187.52 : x
  2. Step 2: Convert to fraction form
    321,894.48/482,653.44 = 97,187.52/x
  3. Step 3: Cross multiply
    321,894.48x = 482,653.44 × 97,187.52
  4. Step 4: Simplify right side
    321,894.48x = 46,907,890,853.07
  5. Step 5: Solve for x
    x = 46,907,890,853.07/321,894.48
  6. Step 6: Final answer
    x = 145,724.43

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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.