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Finding the Fourth Proportional to 411,487.54, 617,283.88 and 158,840.28

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Solution

The fourth proportional to 411,487.54, 617,283.88 and 158,840.28 is: 238,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,487.54 : 617,283.88 = 158,840.28 : x
  2. Step 2: Convert to fraction form
    411,487.54/617,283.88 = 158,840.28/x
  3. Step 3: Cross multiply
    411,487.54x = 617,283.88 × 158,840.28
  4. Step 4: Simplify right side
    411,487.54x = 98,049,544,835.06
  5. Step 5: Solve for x
    x = 98,049,544,835.06/411,487.54
  6. Step 6: Final answer
    x = 238,280.71

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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.