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Finding the Fourth Proportional to 610,615.21, 842,097.39 and 381,193.68

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Solution

The fourth proportional to 610,615.21, 842,097.39 and 381,193.68 is: 525,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,615.21 : 842,097.39 = 381,193.68 : x
  2. Step 2: Convert to fraction form
    610,615.21/842,097.39 = 381,193.68/x
  3. Step 3: Cross multiply
    610,615.21x = 842,097.39 × 381,193.68
  4. Step 4: Simplify right side
    610,615.21x = 321,002,203,012.50
  5. Step 5: Solve for x
    x = 321,002,203,012.50/610,615.21
  6. Step 6: Final answer
    x = 525,702.93

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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.