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Finding the Fourth Proportional to 523,049.64, 783,825.93 and 297,945.24

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Solution

The fourth proportional to 523,049.64, 783,825.93 and 297,945.24 is: 446,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,049.64 : 783,825.93 = 297,945.24 : x
  2. Step 2: Convert to fraction form
    523,049.64/783,825.93 = 297,945.24/x
  3. Step 3: Cross multiply
    523,049.64x = 783,825.93 × 297,945.24
  4. Step 4: Simplify right side
    523,049.64x = 233,537,204,832.07
  5. Step 5: Solve for x
    x = 233,537,204,832.07/523,049.64
  6. Step 6: Final answer
    x = 446,491.47

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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.