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Finding the Fourth Proportional to 380,588.97, 525,212.59 and 227,627.16

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Solution

The fourth proportional to 380,588.97, 525,212.59 and 227,627.16 is: 314,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,588.97 : 525,212.59 = 227,627.16 : x
  2. Step 2: Convert to fraction form
    380,588.97/525,212.59 = 227,627.16/x
  3. Step 3: Cross multiply
    380,588.97x = 525,212.59 × 227,627.16
  4. Step 4: Simplify right side
    380,588.97x = 119,552,648,572.93
  5. Step 5: Solve for x
    x = 119,552,648,572.93/380,588.97
  6. Step 6: Final answer
    x = 314,125.37

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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.