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Finding the Fourth Proportional to 320,609, 442,460.90 and 179,297

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Solution

The fourth proportional to 320,609, 442,460.90 and 179,297 is: 247,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,609 : 442,460.90 = 179,297 : x
  2. Step 2: Convert to fraction form
    320,609/442,460.90 = 179,297/x
  3. Step 3: Cross multiply
    320,609x = 442,460.90 × 179,297
  4. Step 4: Simplify right side
    320,609x = 79,331,911,987.30
  5. Step 5: Solve for x
    x = 79,331,911,987.30/320,609
  6. Step 6: Final answer
    x = 247,441.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.