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Finding the Fourth Proportional to 320,264.86, 441,920.34 and 182,447.41

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Solution

The fourth proportional to 320,264.86, 441,920.34 and 182,447.41 is: 251,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,264.86 : 441,920.34 = 182,447.41 : x
  2. Step 2: Convert to fraction form
    320,264.86/441,920.34 = 182,447.41/x
  3. Step 3: Cross multiply
    320,264.86x = 441,920.34 × 182,447.41
  4. Step 4: Simplify right side
    320,264.86x = 80,627,221,459.32
  5. Step 5: Solve for x
    x = 80,627,221,459.32/320,264.86
  6. Step 6: Final answer
    x = 251,751.70

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1.5x scale

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.