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Finding the Fourth Proportional to 557,463.38, 769,286.90 and 324,875.93

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Solution

The fourth proportional to 557,463.38, 769,286.90 and 324,875.93 is: 448,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,463.38 : 769,286.90 = 324,875.93 : x
  2. Step 2: Convert to fraction form
    557,463.38/769,286.90 = 324,875.93/x
  3. Step 3: Cross multiply
    557,463.38x = 769,286.90 × 324,875.93
  4. Step 4: Simplify right side
    557,463.38x = 249,922,794,040.07
  5. Step 5: Solve for x
    x = 249,922,794,040.07/557,463.38
  6. Step 6: Final answer
    x = 448,321.46

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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.