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Finding the Fourth Proportional to 475,584.84, 656,390.32 and 361,242

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Solution

The fourth proportional to 475,584.84, 656,390.32 and 361,242 is: 498,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,584.84 : 656,390.32 = 361,242 : x
  2. Step 2: Convert to fraction form
    475,584.84/656,390.32 = 361,242/x
  3. Step 3: Cross multiply
    475,584.84x = 656,390.32 × 361,242
  4. Step 4: Simplify right side
    475,584.84x = 237,115,751,977.44
  5. Step 5: Solve for x
    x = 237,115,751,977.44/475,584.84
  6. Step 6: Final answer
    x = 498,577.19

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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.