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Finding the Fourth Proportional to 582,785.48, 874,333.78 and 208,846.28

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Solution

The fourth proportional to 582,785.48, 874,333.78 and 208,846.28 is: 313,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,785.48 : 874,333.78 = 208,846.28 : x
  2. Step 2: Convert to fraction form
    582,785.48/874,333.78 = 208,846.28/x
  3. Step 3: Cross multiply
    582,785.48x = 874,333.78 × 208,846.28
  4. Step 4: Simplify right side
    582,785.48x = 182,601,357,431.34
  5. Step 5: Solve for x
    x = 182,601,357,431.34/582,785.48
  6. Step 6: Final answer
    x = 313,325.17

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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.