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Finding the Fourth Proportional to 653,998.40, 902,764.41 and 382,154.64

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Solution

The fourth proportional to 653,998.40, 902,764.41 and 382,154.64 is: 527,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,998.40 : 902,764.41 = 382,154.64 : x
  2. Step 2: Convert to fraction form
    653,998.40/902,764.41 = 382,154.64/x
  3. Step 3: Cross multiply
    653,998.40x = 902,764.41 × 382,154.64
  4. Step 4: Simplify right side
    653,998.40x = 344,995,608,108.36
  5. Step 5: Solve for x
    x = 344,995,608,108.36/653,998.40
  6. Step 6: Final answer
    x = 527,517.51

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Double scale
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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.