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Finding the Fourth Proportional to 583,849.20, 805,021.56 and 411,795.48

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Solution

The fourth proportional to 583,849.20, 805,021.56 and 411,795.48 is: 567,790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,849.20 : 805,021.56 = 411,795.48 : x
  2. Step 2: Convert to fraction form
    583,849.20/805,021.56 = 411,795.48/x
  3. Step 3: Cross multiply
    583,849.20x = 805,021.56 × 411,795.48
  4. Step 4: Simplify right side
    583,849.20x = 331,504,239,710.55
  5. Step 5: Solve for x
    x = 331,504,239,710.55/583,849.20
  6. Step 6: Final answer
    x = 567,790.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.