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Finding the Fourth Proportional to 432,817.36, 649,459.32 and 180,272.32

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Solution

The fourth proportional to 432,817.36, 649,459.32 and 180,272.32 is: 270,505.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,817.36 : 649,459.32 = 180,272.32 : x
  2. Step 2: Convert to fraction form
    432,817.36/649,459.32 = 180,272.32/x
  3. Step 3: Cross multiply
    432,817.36x = 649,459.32 × 180,272.32
  4. Step 4: Simplify right side
    432,817.36x = 117,079,538,362.02
  5. Step 5: Solve for x
    x = 117,079,538,362.02/432,817.36
  6. Step 6: Final answer
    x = 270,505.64

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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.