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Finding the Fourth Proportional to 686,941.74, 947,359.05 and 428,842.52

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Solution

The fourth proportional to 686,941.74, 947,359.05 and 428,842.52 is: 591,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,941.74 : 947,359.05 = 428,842.52 : x
  2. Step 2: Convert to fraction form
    686,941.74/947,359.05 = 428,842.52/x
  3. Step 3: Cross multiply
    686,941.74x = 947,359.05 × 428,842.52
  4. Step 4: Simplify right side
    686,941.74x = 406,267,837,610.01
  5. Step 5: Solve for x
    x = 406,267,837,610.01/686,941.74
  6. Step 6: Final answer
    x = 591,415.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.