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Finding the Fourth Proportional to 322,506.84, 483,594.38 and 144,861.40

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Solution

The fourth proportional to 322,506.84, 483,594.38 and 144,861.40 is: 217,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,506.84 : 483,594.38 = 144,861.40 : x
  2. Step 2: Convert to fraction form
    322,506.84/483,594.38 = 144,861.40/x
  3. Step 3: Cross multiply
    322,506.84x = 483,594.38 × 144,861.40
  4. Step 4: Simplify right side
    322,506.84x = 70,054,158,918.93
  5. Step 5: Solve for x
    x = 70,054,158,918.93/322,506.84
  6. Step 6: Final answer
    x = 217,217.59

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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.