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Finding the Fourth Proportional to 523,863.28, 786,344.64 and 464,273.04

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Solution

The fourth proportional to 523,863.28, 786,344.64 and 464,273.04 is: 696,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,863.28 : 786,344.64 = 464,273.04 : x
  2. Step 2: Convert to fraction form
    523,863.28/786,344.64 = 464,273.04/x
  3. Step 3: Cross multiply
    523,863.28x = 786,344.64 × 464,273.04
  4. Step 4: Simplify right side
    523,863.28x = 365,078,616,500.51
  5. Step 5: Solve for x
    x = 365,078,616,500.51/523,863.28
  6. Step 6: Final answer
    x = 696,896.75

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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.