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Finding the Fourth Proportional to 428,643.60, 591,564.38 and 237,718.50

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Solution

The fourth proportional to 428,643.60, 591,564.38 and 237,718.50 is: 328,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,643.60 : 591,564.38 = 237,718.50 : x
  2. Step 2: Convert to fraction form
    428,643.60/591,564.38 = 237,718.50/x
  3. Step 3: Cross multiply
    428,643.60x = 591,564.38 × 237,718.50
  4. Step 4: Simplify right side
    428,643.60x = 140,625,797,067.03
  5. Step 5: Solve for x
    x = 140,625,797,067.03/428,643.60
  6. Step 6: Final answer
    x = 328,071.61

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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.