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Finding the Fourth Proportional to 320,144.40, 479,882.88 and 120,327.12

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Solution

The fourth proportional to 320,144.40, 479,882.88 and 120,327.12 is: 180,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,144.40 : 479,882.88 = 120,327.12 : x
  2. Step 2: Convert to fraction form
    320,144.40/479,882.88 = 120,327.12/x
  3. Step 3: Cross multiply
    320,144.40x = 479,882.88 × 120,327.12
  4. Step 4: Simplify right side
    320,144.40x = 57,742,924,887.71
  5. Step 5: Solve for x
    x = 57,742,924,887.71/320,144.40
  6. Step 6: Final answer
    x = 180,365.25

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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.