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Finding the Fourth Proportional to 654,791.04, 982,357.47 and 205,526.16

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Solution

The fourth proportional to 654,791.04, 982,357.47 and 205,526.16 is: 308,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,791.04 : 982,357.47 = 205,526.16 : x
  2. Step 2: Convert to fraction form
    654,791.04/982,357.47 = 205,526.16/x
  3. Step 3: Cross multiply
    654,791.04x = 982,357.47 × 205,526.16
  4. Step 4: Simplify right side
    654,791.04x = 201,900,158,556.42
  5. Step 5: Solve for x
    x = 201,900,158,556.42/654,791.04
  6. Step 6: Final answer
    x = 308,342.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.