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Finding the Fourth Proportional to 413,576.73, 620,541.43 and 233,686.87

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Solution

The fourth proportional to 413,576.73, 620,541.43 and 233,686.87 is: 350,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,576.73 : 620,541.43 = 233,686.87 : x
  2. Step 2: Convert to fraction form
    413,576.73/620,541.43 = 233,686.87/x
  3. Step 3: Cross multiply
    413,576.73x = 620,541.43 × 233,686.87
  4. Step 4: Simplify right side
    413,576.73x = 145,012,384,482.02
  5. Step 5: Solve for x
    x = 145,012,384,482.02/413,576.73
  6. Step 6: Final answer
    x = 350,629.94

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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.