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Finding the Fourth Proportional to 331,774.22, 497,661.06 and 82,456.22

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Solution

The fourth proportional to 331,774.22, 497,661.06 and 82,456.22 is: 123,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,774.22 : 497,661.06 = 82,456.22 : x
  2. Step 2: Convert to fraction form
    331,774.22/497,661.06 = 82,456.22/x
  3. Step 3: Cross multiply
    331,774.22x = 497,661.06 × 82,456.22
  4. Step 4: Simplify right side
    331,774.22x = 41,035,249,848.79
  5. Step 5: Solve for x
    x = 41,035,249,848.79/331,774.22
  6. Step 6: Final answer
    x = 123,684.26

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1.5x scale

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.