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Finding the Fourth Proportional to 313,929.36, 433,220.25 and 170,689.50

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Solution

The fourth proportional to 313,929.36, 433,220.25 and 170,689.50 is: 235,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,929.36 : 433,220.25 = 170,689.50 : x
  2. Step 2: Convert to fraction form
    313,929.36/433,220.25 = 170,689.50/x
  3. Step 3: Cross multiply
    313,929.36x = 433,220.25 × 170,689.50
  4. Step 4: Simplify right side
    313,929.36x = 73,946,147,862.38
  5. Step 5: Solve for x
    x = 73,946,147,862.38/313,929.36
  6. Step 6: Final answer
    x = 235,550.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.