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Finding the Fourth Proportional to 535,423.53, 738,877.50 and 305,978.22

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Solution

The fourth proportional to 535,423.53, 738,877.50 and 305,978.22 is: 422,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,423.53 : 738,877.50 = 305,978.22 : x
  2. Step 2: Convert to fraction form
    535,423.53/738,877.50 = 305,978.22/x
  3. Step 3: Cross multiply
    535,423.53x = 738,877.50 × 305,978.22
  4. Step 4: Simplify right side
    535,423.53x = 226,080,422,248.05
  5. Step 5: Solve for x
    x = 226,080,422,248.05/535,423.53
  6. Step 6: Final answer
    x = 422,245.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.