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Finding the Fourth Proportional to 536,938.56, 805,003.92 and 462,930.48

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Solution

The fourth proportional to 536,938.56, 805,003.92 and 462,930.48 is: 694,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,938.56 : 805,003.92 = 462,930.48 : x
  2. Step 2: Convert to fraction form
    536,938.56/805,003.92 = 462,930.48/x
  3. Step 3: Cross multiply
    536,938.56x = 805,003.92 × 462,930.48
  4. Step 4: Simplify right side
    536,938.56x = 372,660,851,087.48
  5. Step 5: Solve for x
    x = 372,660,851,087.48/536,938.56
  6. Step 6: Final answer
    x = 694,047.47

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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.