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Finding the Fourth Proportional to 410,274.28, 565,500.88 and 274,258.60

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Solution

The fourth proportional to 410,274.28, 565,500.88 and 274,258.60 is: 378,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,274.28 : 565,500.88 = 274,258.60 : x
  2. Step 2: Convert to fraction form
    410,274.28/565,500.88 = 274,258.60/x
  3. Step 3: Cross multiply
    410,274.28x = 565,500.88 × 274,258.60
  4. Step 4: Simplify right side
    410,274.28x = 155,093,478,317.24
  5. Step 5: Solve for x
    x = 155,093,478,317.24/410,274.28
  6. Step 6: Final answer
    x = 378,023.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.