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Finding the Fourth Proportional to 523,063.56, 783,846.74 and 297,959.42

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Solution

The fourth proportional to 523,063.56, 783,846.74 and 297,959.42 is: 446,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,063.56 : 783,846.74 = 297,959.42 : x
  2. Step 2: Convert to fraction form
    523,063.56/783,846.74 = 297,959.42/x
  3. Step 3: Cross multiply
    523,063.56x = 783,846.74 × 297,959.42
  4. Step 4: Simplify right side
    523,063.56x = 233,554,520,019.29
  5. Step 5: Solve for x
    x = 233,554,520,019.29/523,063.56
  6. Step 6: Final answer
    x = 446,512.70

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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.