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Finding the Fourth Proportional to 436,457.82, 654,089.43 and 329,754.06

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Solution

The fourth proportional to 436,457.82, 654,089.43 and 329,754.06 is: 494,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,457.82 : 654,089.43 = 329,754.06 : x
  2. Step 2: Convert to fraction form
    436,457.82/654,089.43 = 329,754.06/x
  3. Step 3: Cross multiply
    436,457.82x = 654,089.43 × 329,754.06
  4. Step 4: Simplify right side
    436,457.82x = 215,688,645,145.59
  5. Step 5: Solve for x
    x = 215,688,645,145.59/436,457.82
  6. Step 6: Final answer
    x = 494,179.82

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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.