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Finding the Fourth Proportional to 535,794.42, 739,395.31 and 306,356.01

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Solution

The fourth proportional to 535,794.42, 739,395.31 and 306,356.01 is: 422,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,794.42 : 739,395.31 = 306,356.01 : x
  2. Step 2: Convert to fraction form
    535,794.42/739,395.31 = 306,356.01/x
  3. Step 3: Cross multiply
    535,794.42x = 739,395.31 × 306,356.01
  4. Step 4: Simplify right side
    535,794.42x = 226,518,196,984.31
  5. Step 5: Solve for x
    x = 226,518,196,984.31/535,794.42
  6. Step 6: Final answer
    x = 422,770.73

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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.