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Finding the Fourth Proportional to 509,352.22, 702,992.65 and 294,622.82

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Solution

The fourth proportional to 509,352.22, 702,992.65 and 294,622.82 is: 406,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,352.22 : 702,992.65 = 294,622.82 : x
  2. Step 2: Convert to fraction form
    509,352.22/702,992.65 = 294,622.82/x
  3. Step 3: Cross multiply
    509,352.22x = 702,992.65 × 294,622.82
  4. Step 4: Simplify right side
    509,352.22x = 207,117,676,982.27
  5. Step 5: Solve for x
    x = 207,117,676,982.27/509,352.22
  6. Step 6: Final answer
    x = 406,629.58

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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.