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Finding the Fourth Proportional to 380,708.50, 571,071.93 and 127,992.28

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Solution

The fourth proportional to 380,708.50, 571,071.93 and 127,992.28 is: 191,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,708.50 : 571,071.93 = 127,992.28 : x
  2. Step 2: Convert to fraction form
    380,708.50/571,071.93 = 127,992.28/x
  3. Step 3: Cross multiply
    380,708.50x = 571,071.93 × 127,992.28
  4. Step 4: Simplify right side
    380,708.50x = 73,092,798,364.70
  5. Step 5: Solve for x
    x = 73,092,798,364.70/380,708.50
  6. Step 6: Final answer
    x = 191,991.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.