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Finding the Fourth Proportional to 523,107.84, 721,889.28 and 293,633.04

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Solution

The fourth proportional to 523,107.84, 721,889.28 and 293,633.04 is: 405,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,107.84 : 721,889.28 = 293,633.04 : x
  2. Step 2: Convert to fraction form
    523,107.84/721,889.28 = 293,633.04/x
  3. Step 3: Cross multiply
    523,107.84x = 721,889.28 × 293,633.04
  4. Step 4: Simplify right side
    523,107.84x = 211,970,543,829.81
  5. Step 5: Solve for x
    x = 211,970,543,829.81/523,107.84
  6. Step 6: Final answer
    x = 405,213.85

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Why These Related Problems?

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