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Finding the Fourth Proportional to 322,540.16, 483,860.48 and 164,683.20

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Solution

The fourth proportional to 322,540.16, 483,860.48 and 164,683.20 is: 247,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,540.16 : 483,860.48 = 164,683.20 : x
  2. Step 2: Convert to fraction form
    322,540.16/483,860.48 = 164,683.20/x
  3. Step 3: Cross multiply
    322,540.16x = 483,860.48 × 164,683.20
  4. Step 4: Simplify right side
    322,540.16x = 79,683,692,199.94
  5. Step 5: Solve for x
    x = 79,683,692,199.94/322,540.16
  6. Step 6: Final answer
    x = 247,050.45

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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.