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Finding the Fourth Proportional to 411,696.80, 617,084.40 and 174,999.20

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Solution

The fourth proportional to 411,696.80, 617,084.40 and 174,999.20 is: 262,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,696.80 : 617,084.40 = 174,999.20 : x
  2. Step 2: Convert to fraction form
    411,696.80/617,084.40 = 174,999.20/x
  3. Step 3: Cross multiply
    411,696.80x = 617,084.40 × 174,999.20
  4. Step 4: Simplify right side
    411,696.80x = 107,989,276,332.48
  5. Step 5: Solve for x
    x = 107,989,276,332.48/411,696.80
  6. Step 6: Final answer
    x = 262,302.93

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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.