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Finding the Fourth Proportional to 866,149.71, 1,299,604.37 and 411,069.63

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Solution

The fourth proportional to 866,149.71, 1,299,604.37 and 411,069.63 is: 616,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,149.71 : 1,299,604.37 = 411,069.63 : x
  2. Step 2: Convert to fraction form
    866,149.71/1,299,604.37 = 411,069.63/x
  3. Step 3: Cross multiply
    866,149.71x = 1,299,604.37 × 411,069.63
  4. Step 4: Simplify right side
    866,149.71x = 534,227,885,466.94
  5. Step 5: Solve for x
    x = 534,227,885,466.94/866,149.71
  6. Step 6: Final answer
    x = 616,784.70

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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.