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Finding the Fourth Proportional to 863,741, 1,191,959.21 and 476,580.50

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Solution

The fourth proportional to 863,741, 1,191,959.21 and 476,580.50 is: 657,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,741 : 1,191,959.21 = 476,580.50 : x
  2. Step 2: Convert to fraction form
    863,741/1,191,959.21 = 476,580.50/x
  3. Step 3: Cross multiply
    863,741x = 1,191,959.21 × 476,580.50
  4. Step 4: Simplify right side
    863,741x = 568,064,516,281.41
  5. Step 5: Solve for x
    x = 568,064,516,281.41/863,741
  6. Step 6: Final answer
    x = 657,679.23

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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.