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Finding the Fourth Proportional to 501,629.22, 692,202.51 and 297,645.03

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Solution

The fourth proportional to 501,629.22, 692,202.51 and 297,645.03 is: 410,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,629.22 : 692,202.51 = 297,645.03 : x
  2. Step 2: Convert to fraction form
    501,629.22/692,202.51 = 297,645.03/x
  3. Step 3: Cross multiply
    501,629.22x = 692,202.51 × 297,645.03
  4. Step 4: Simplify right side
    501,629.22x = 206,030,636,855.03
  5. Step 5: Solve for x
    x = 206,030,636,855.03/501,629.22
  6. Step 6: Final answer
    x = 410,722.96

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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.