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Finding the Fourth Proportional to 569,538.40, 853,141.20 and 289,213.60

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Solution

The fourth proportional to 569,538.40, 853,141.20 and 289,213.60 is: 433,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,538.40 : 853,141.20 = 289,213.60 : x
  2. Step 2: Convert to fraction form
    569,538.40/853,141.20 = 289,213.60/x
  3. Step 3: Cross multiply
    569,538.40x = 853,141.20 × 289,213.60
  4. Step 4: Simplify right side
    569,538.40x = 246,740,037,760.32
  5. Step 5: Solve for x
    x = 246,740,037,760.32/569,538.40
  6. Step 6: Final answer
    x = 433,228.10

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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.