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Finding the Fourth Proportional to 428,468.88, 591,322.44 and 237,542.16

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Solution

The fourth proportional to 428,468.88, 591,322.44 and 237,542.16 is: 327,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,468.88 : 591,322.44 = 237,542.16 : x
  2. Step 2: Convert to fraction form
    428,468.88/591,322.44 = 237,542.16/x
  3. Step 3: Cross multiply
    428,468.88x = 591,322.44 × 237,542.16
  4. Step 4: Simplify right side
    428,468.88x = 140,464,009,654.07
  5. Step 5: Solve for x
    x = 140,464,009,654.07/428,468.88
  6. Step 6: Final answer
    x = 327,827.80

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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.