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Finding the Fourth Proportional to 321,944.70, 482,914.65 and 97,304.70

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Solution

The fourth proportional to 321,944.70, 482,914.65 and 97,304.70 is: 145,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,944.70 : 482,914.65 = 97,304.70 : x
  2. Step 2: Convert to fraction form
    321,944.70/482,914.65 = 97,304.70/x
  3. Step 3: Cross multiply
    321,944.70x = 482,914.65 × 97,304.70
  4. Step 4: Simplify right side
    321,944.70x = 46,989,865,143.86
  5. Step 5: Solve for x
    x = 46,989,865,143.86/321,944.70
  6. Step 6: Final answer
    x = 145,956.32

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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.