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Finding the Fourth Proportional to 380,593.08, 570,973.86 and 127,882.80

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Solution

The fourth proportional to 380,593.08, 570,973.86 and 127,882.80 is: 191,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,593.08 : 570,973.86 = 127,882.80 : x
  2. Step 2: Convert to fraction form
    380,593.08/570,973.86 = 127,882.80/x
  3. Step 3: Cross multiply
    380,593.08x = 570,973.86 × 127,882.80
  4. Step 4: Simplify right side
    380,593.08x = 73,017,735,943.61
  5. Step 5: Solve for x
    x = 73,017,735,943.61/380,593.08
  6. Step 6: Final answer
    x = 191,852.51

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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.