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Finding the Fourth Proportional to 509,302.12, 702,795.79 and 294,456.03

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Solution

The fourth proportional to 509,302.12, 702,795.79 and 294,456.03 is: 406,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,302.12 : 702,795.79 = 294,456.03 : x
  2. Step 2: Convert to fraction form
    509,302.12/702,795.79 = 294,456.03/x
  3. Step 3: Cross multiply
    509,302.12x = 702,795.79 × 294,456.03
  4. Step 4: Simplify right side
    509,302.12x = 206,942,456,751.83
  5. Step 5: Solve for x
    x = 206,942,456,751.83/509,302.12
  6. Step 6: Final answer
    x = 406,325.54

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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.