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Finding the Fourth Proportional to 470,915.52, 705,975.12 and 204,474.48

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Solution

The fourth proportional to 470,915.52, 705,975.12 and 204,474.48 is: 306,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,915.52 : 705,975.12 = 204,474.48 : x
  2. Step 2: Convert to fraction form
    470,915.52/705,975.12 = 204,474.48/x
  3. Step 3: Cross multiply
    470,915.52x = 705,975.12 × 204,474.48
  4. Step 4: Simplify right side
    470,915.52x = 144,353,895,554.94
  5. Step 5: Solve for x
    x = 144,353,895,554.94/470,915.52
  6. Step 6: Final answer
    x = 306,538.84

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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.