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Finding the Fourth Proportional to 852,921, 1,177,134.66 and 495,225

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Solution

The fourth proportional to 852,921, 1,177,134.66 and 495,225 is: 683,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,921 : 1,177,134.66 = 495,225 : x
  2. Step 2: Convert to fraction form
    852,921/1,177,134.66 = 495,225/x
  3. Step 3: Cross multiply
    852,921x = 1,177,134.66 × 495,225
  4. Step 4: Simplify right side
    852,921x = 582,946,511,998.50
  5. Step 5: Solve for x
    x = 582,946,511,998.50/852,921
  6. Step 6: Final answer
    x = 683,470.70

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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.