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Finding the Fourth Proportional to 313,829.80, 470,453.10 and 219,059.80

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Solution

The fourth proportional to 313,829.80, 470,453.10 and 219,059.80 is: 328,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,829.80 : 470,453.10 = 219,059.80 : x
  2. Step 2: Convert to fraction form
    313,829.80/470,453.10 = 219,059.80/x
  3. Step 3: Cross multiply
    313,829.80x = 470,453.10 × 219,059.80
  4. Step 4: Simplify right side
    313,829.80x = 103,057,361,995.38
  5. Step 5: Solve for x
    x = 103,057,361,995.38/313,829.80
  6. Step 6: Final answer
    x = 328,386.16

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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.