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Finding the Fourth Proportional to 428,228.44, 590,980.05 and 234,636.55

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Solution

The fourth proportional to 428,228.44, 590,980.05 and 234,636.55 is: 323,812.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,228.44 : 590,980.05 = 234,636.55 : x
  2. Step 2: Convert to fraction form
    428,228.44/590,980.05 = 234,636.55/x
  3. Step 3: Cross multiply
    428,228.44x = 590,980.05 × 234,636.55
  4. Step 4: Simplify right side
    428,228.44x = 138,665,518,573.38
  5. Step 5: Solve for x
    x = 138,665,518,573.38/428,228.44
  6. Step 6: Final answer
    x = 323,812.03

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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.