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Finding the Fourth Proportional to 457,198.62, 685,547.93 and 363,033.69

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Solution

The fourth proportional to 457,198.62, 685,547.93 and 363,033.69 is: 544,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,198.62 : 685,547.93 = 363,033.69 : x
  2. Step 2: Convert to fraction form
    457,198.62/685,547.93 = 363,033.69/x
  3. Step 3: Cross multiply
    457,198.62x = 685,547.93 × 363,033.69
  4. Step 4: Simplify right side
    457,198.62x = 248,876,992,884.59
  5. Step 5: Solve for x
    x = 248,876,992,884.59/457,198.62
  6. Step 6: Final answer
    x = 544,352.02

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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.