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Finding the Fourth Proportional to 838,778.09, 1,257,262.09 and 411,817.37

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Solution

The fourth proportional to 838,778.09, 1,257,262.09 and 411,817.37 is: 617,281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,778.09 : 1,257,262.09 = 411,817.37 : x
  2. Step 2: Convert to fraction form
    838,778.09/1,257,262.09 = 411,817.37/x
  3. Step 3: Cross multiply
    838,778.09x = 1,257,262.09 × 411,817.37
  4. Step 4: Simplify right side
    838,778.09x = 517,762,359,988.65
  5. Step 5: Solve for x
    x = 517,762,359,988.65/838,778.09
  6. Step 6: Final answer
    x = 617,281.70

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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.