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Finding the Fourth Proportional to 535,096.14, 738,462.84 and 317,433.68

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Solution

The fourth proportional to 535,096.14, 738,462.84 and 317,433.68 is: 438,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,096.14 : 738,462.84 = 317,433.68 : x
  2. Step 2: Convert to fraction form
    535,096.14/738,462.84 = 317,433.68/x
  3. Step 3: Cross multiply
    535,096.14x = 738,462.84 × 317,433.68
  4. Step 4: Simplify right side
    535,096.14x = 234,412,976,844.45
  5. Step 5: Solve for x
    x = 234,412,976,844.45/535,096.14
  6. Step 6: Final answer
    x = 438,076.37

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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.