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Finding the Fourth Proportional to 322,403.10, 482,948.55 and 164,720.40

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Solution

The fourth proportional to 322,403.10, 482,948.55 and 164,720.40 is: 246,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,403.10 : 482,948.55 = 164,720.40 : x
  2. Step 2: Convert to fraction form
    322,403.10/482,948.55 = 164,720.40/x
  3. Step 3: Cross multiply
    322,403.10x = 482,948.55 × 164,720.40
  4. Step 4: Simplify right side
    322,403.10x = 79,551,478,335.42
  5. Step 5: Solve for x
    x = 79,551,478,335.42/322,403.10
  6. Step 6: Final answer
    x = 246,745.39

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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.