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Finding the Fourth Proportional to 535,693.45, 803,540.19 and 417,453.31

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Solution

The fourth proportional to 535,693.45, 803,540.19 and 417,453.31 is: 626,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,693.45 : 803,540.19 = 417,453.31 : x
  2. Step 2: Convert to fraction form
    535,693.45/803,540.19 = 417,453.31/x
  3. Step 3: Cross multiply
    535,693.45x = 803,540.19 × 417,453.31
  4. Step 4: Simplify right side
    535,693.45x = 335,440,512,033.53
  5. Step 5: Solve for x
    x = 335,440,512,033.53/535,693.45
  6. Step 6: Final answer
    x = 626,179.98

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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.