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Finding the Fourth Proportional to 635,329.47, 952,714.44 and 298,465.86

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Solution

The fourth proportional to 635,329.47, 952,714.44 and 298,465.86 is: 447,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,329.47 : 952,714.44 = 298,465.86 : x
  2. Step 2: Convert to fraction form
    635,329.47/952,714.44 = 298,465.86/x
  3. Step 3: Cross multiply
    635,329.47x = 952,714.44 × 298,465.86
  4. Step 4: Simplify right side
    635,329.47x = 284,352,738,241.70
  5. Step 5: Solve for x
    x = 284,352,738,241.70/635,329.47
  6. Step 6: Final answer
    x = 447,567.36

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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.