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Finding the Fourth Proportional to 468,902.80, 647,085 and 254,048.32

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Solution

The fourth proportional to 468,902.80, 647,085 and 254,048.32 is: 350,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,902.80 : 647,085 = 254,048.32 : x
  2. Step 2: Convert to fraction form
    468,902.80/647,085 = 254,048.32/x
  3. Step 3: Cross multiply
    468,902.80x = 647,085 × 254,048.32
  4. Step 4: Simplify right side
    468,902.80x = 164,390,857,147.20
  5. Step 5: Solve for x
    x = 164,390,857,147.20/468,902.80
  6. Step 6: Final answer
    x = 350,586.21

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1.5x scale

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.