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Finding the Fourth Proportional to 320,072.80, 480,410.42 and 162,414.40

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Solution

The fourth proportional to 320,072.80, 480,410.42 and 162,414.40 is: 243,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,072.80 : 480,410.42 = 162,414.40 : x
  2. Step 2: Convert to fraction form
    320,072.80/480,410.42 = 162,414.40/x
  3. Step 3: Cross multiply
    320,072.80x = 480,410.42 × 162,414.40
  4. Step 4: Simplify right side
    320,072.80x = 78,025,570,118.05
  5. Step 5: Solve for x
    x = 78,025,570,118.05/320,072.80
  6. Step 6: Final answer
    x = 243,774.45

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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.