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Finding the Fourth Proportional to 509,352.72, 702,993.34 and 294,623.32

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Solution

The fourth proportional to 509,352.72, 702,993.34 and 294,623.32 is: 406,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,352.72 : 702,993.34 = 294,623.32 : x
  2. Step 2: Convert to fraction form
    509,352.72/702,993.34 = 294,623.32/x
  3. Step 3: Cross multiply
    509,352.72x = 702,993.34 × 294,623.32
  4. Step 4: Simplify right side
    509,352.72x = 207,118,231,768.69
  5. Step 5: Solve for x
    x = 207,118,231,768.69/509,352.72
  6. Step 6: Final answer
    x = 406,630.27

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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.