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Finding the Fourth Proportional to 428,907.70, 591,963.62 and 237,982.60

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Solution

The fourth proportional to 428,907.70, 591,963.62 and 237,982.60 is: 328,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,907.70 : 591,963.62 = 237,982.60 : x
  2. Step 2: Convert to fraction form
    428,907.70/591,963.62 = 237,982.60/x
  3. Step 3: Cross multiply
    428,907.70x = 591,963.62 × 237,982.60
  4. Step 4: Simplify right side
    428,907.70x = 140,877,041,393.01
  5. Step 5: Solve for x
    x = 140,877,041,393.01/428,907.70
  6. Step 6: Final answer
    x = 328,455.38

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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.