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Finding the Fourth Proportional to 381,117.01, 525,973.78 and 211,405.81

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Solution

The fourth proportional to 381,117.01, 525,973.78 and 211,405.81 is: 291,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,117.01 : 525,973.78 = 211,405.81 : x
  2. Step 2: Convert to fraction form
    381,117.01/525,973.78 = 211,405.81/x
  3. Step 3: Cross multiply
    381,117.01x = 525,973.78 × 211,405.81
  4. Step 4: Simplify right side
    381,117.01x = 111,193,914,843.11
  5. Step 5: Solve for x
    x = 111,193,914,843.11/381,117.01
  6. Step 6: Final answer
    x = 291,757.94

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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.