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Finding the Fourth Proportional to 380,767.92, 525,462.87 and 211,004.88

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Solution

The fourth proportional to 380,767.92, 525,462.87 and 211,004.88 is: 291,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,767.92 : 525,462.87 = 211,004.88 : x
  2. Step 2: Convert to fraction form
    380,767.92/525,462.87 = 211,004.88/x
  3. Step 3: Cross multiply
    380,767.92x = 525,462.87 × 211,004.88
  4. Step 4: Simplify right side
    380,767.92x = 110,875,229,828.81
  5. Step 5: Solve for x
    x = 110,875,229,828.81/380,767.92
  6. Step 6: Final answer
    x = 291,188.47

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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.