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Finding the Fourth Proportional to 388,082.60, 582,047.10 and 188,402.60

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Solution

The fourth proportional to 388,082.60, 582,047.10 and 188,402.60 is: 282,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,082.60 : 582,047.10 = 188,402.60 : x
  2. Step 2: Convert to fraction form
    388,082.60/582,047.10 = 188,402.60/x
  3. Step 3: Cross multiply
    388,082.60x = 582,047.10 × 188,402.60
  4. Step 4: Simplify right side
    388,082.60x = 109,659,186,962.46
  5. Step 5: Solve for x
    x = 109,659,186,962.46/388,082.60
  6. Step 6: Final answer
    x = 282,566.62

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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.