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Finding the Fourth Proportional to 437,304.66, 656,009.56 and 413,389.82

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Solution

The fourth proportional to 437,304.66, 656,009.56 and 413,389.82 is: 620,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,304.66 : 656,009.56 = 413,389.82 : x
  2. Step 2: Convert to fraction form
    437,304.66/656,009.56 = 413,389.82/x
  3. Step 3: Cross multiply
    437,304.66x = 656,009.56 × 413,389.82
  4. Step 4: Simplify right side
    437,304.66x = 271,187,673,926.68
  5. Step 5: Solve for x
    x = 271,187,673,926.68/437,304.66
  6. Step 6: Final answer
    x = 620,134.43

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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.