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Finding the Fourth Proportional to 411,069.60, 616,916.04 and 174,578.40

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Solution

The fourth proportional to 411,069.60, 616,916.04 and 174,578.40 is: 261,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,069.60 : 616,916.04 = 174,578.40 : x
  2. Step 2: Convert to fraction form
    411,069.60/616,916.04 = 174,578.40/x
  3. Step 3: Cross multiply
    411,069.60x = 616,916.04 × 174,578.40
  4. Step 4: Simplify right side
    411,069.60x = 107,700,215,197.54
  5. Step 5: Solve for x
    x = 107,700,215,197.54/411,069.60
  6. Step 6: Final answer
    x = 261,999.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.