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Finding the Fourth Proportional to 380,812.17, 525,520.80 and 211,057.23

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Solution

The fourth proportional to 380,812.17, 525,520.80 and 211,057.23 is: 291,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,812.17 : 525,520.80 = 211,057.23 : x
  2. Step 2: Convert to fraction form
    380,812.17/525,520.80 = 211,057.23/x
  3. Step 3: Cross multiply
    380,812.17x = 525,520.80 × 211,057.23
  4. Step 4: Simplify right side
    380,812.17x = 110,914,964,355.38
  5. Step 5: Solve for x
    x = 110,914,964,355.38/380,812.17
  6. Step 6: Final answer
    x = 291,258.98

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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.