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Finding the Fourth Proportional to 546,675.75, 820,145.15 and 172,698.75

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Solution

The fourth proportional to 546,675.75, 820,145.15 and 172,698.75 is: 259,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,675.75 : 820,145.15 = 172,698.75 : x
  2. Step 2: Convert to fraction form
    546,675.75/820,145.15 = 172,698.75/x
  3. Step 3: Cross multiply
    546,675.75x = 820,145.15 × 172,698.75
  4. Step 4: Simplify right side
    546,675.75x = 141,638,042,007.69
  5. Step 5: Solve for x
    x = 141,638,042,007.69/546,675.75
  6. Step 6: Final answer
    x = 259,089.67

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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.