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Finding the Fourth Proportional to 498,083.28, 687,351.68 and 283,223.36

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Solution

The fourth proportional to 498,083.28, 687,351.68 and 283,223.36 is: 390,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,083.28 : 687,351.68 = 283,223.36 : x
  2. Step 2: Convert to fraction form
    498,083.28/687,351.68 = 283,223.36/x
  3. Step 3: Cross multiply
    498,083.28x = 687,351.68 × 283,223.36
  4. Step 4: Simplify right side
    498,083.28x = 194,674,047,458.37
  5. Step 5: Solve for x
    x = 194,674,047,458.37/498,083.28
  6. Step 6: Final answer
    x = 390,846.38

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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.