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Finding the Fourth Proportional to 411,390.30, 617,162.71 and 186,766.57

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Solution

The fourth proportional to 411,390.30, 617,162.71 and 186,766.57 is: 280,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,390.30 : 617,162.71 = 186,766.57 : x
  2. Step 2: Convert to fraction form
    411,390.30/617,162.71 = 186,766.57/x
  3. Step 3: Cross multiply
    411,390.30x = 617,162.71 × 186,766.57
  4. Step 4: Simplify right side
    411,390.30x = 115,265,362,478.61
  5. Step 5: Solve for x
    x = 115,265,362,478.61/411,390.30
  6. Step 6: Final answer
    x = 280,184.93

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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.