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Finding the Fourth Proportional to 432,833.80, 649,250.70 and 283,534.60

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Solution

The fourth proportional to 432,833.80, 649,250.70 and 283,534.60 is: 425,301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,833.80 : 649,250.70 = 283,534.60 : x
  2. Step 2: Convert to fraction form
    432,833.80/649,250.70 = 283,534.60/x
  3. Step 3: Cross multiply
    432,833.80x = 649,250.70 × 283,534.60
  4. Step 4: Simplify right side
    432,833.80x = 184,085,037,524.22
  5. Step 5: Solve for x
    x = 184,085,037,524.22/432,833.80
  6. Step 6: Final answer
    x = 425,301.90

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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.