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Finding the Fourth Proportional to 829,200, 1,243,750.56 and 487,835.22

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Solution

The fourth proportional to 829,200, 1,243,750.56 and 487,835.22 is: 731,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,200 : 1,243,750.56 = 487,835.22 : x
  2. Step 2: Convert to fraction form
    829,200/1,243,750.56 = 487,835.22/x
  3. Step 3: Cross multiply
    829,200x = 1,243,750.56 × 487,835.22
  4. Step 4: Simplify right side
    829,200x = 606,745,328,062.72
  5. Step 5: Solve for x
    x = 606,745,328,062.72/829,200
  6. Step 6: Final answer
    x = 731,723.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.