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Finding the Fourth Proportional to 411,362.94, 617,121.54 and 186,739.06

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Solution

The fourth proportional to 411,362.94, 617,121.54 and 186,739.06 is: 280,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,362.94 : 617,121.54 = 186,739.06 : x
  2. Step 2: Convert to fraction form
    411,362.94/617,121.54 = 186,739.06/x
  3. Step 3: Cross multiply
    411,362.94x = 617,121.54 × 186,739.06
  4. Step 4: Simplify right side
    411,362.94x = 115,240,696,285.35
  5. Step 5: Solve for x
    x = 115,240,696,285.35/411,362.94
  6. Step 6: Final answer
    x = 280,143.60

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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.