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Finding the Fourth Proportional to 413,450.33, 619,271.31 and 293,142.61

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Solution

The fourth proportional to 413,450.33, 619,271.31 and 293,142.61 is: 439,072.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,450.33 : 619,271.31 = 293,142.61 : x
  2. Step 2: Convert to fraction form
    413,450.33/619,271.31 = 293,142.61/x
  3. Step 3: Cross multiply
    413,450.33x = 619,271.31 × 293,142.61
  4. Step 4: Simplify right side
    413,450.33x = 181,534,808,111.52
  5. Step 5: Solve for x
    x = 181,534,808,111.52/413,450.33
  6. Step 6: Final answer
    x = 439,072.83

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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.