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Finding the Fourth Proportional to 384,962.76, 577,300.32 and 132,171.48

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Solution

The fourth proportional to 384,962.76, 577,300.32 and 132,171.48 is: 198,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,962.76 : 577,300.32 = 132,171.48 : x
  2. Step 2: Convert to fraction form
    384,962.76/577,300.32 = 132,171.48/x
  3. Step 3: Cross multiply
    384,962.76x = 577,300.32 × 132,171.48
  4. Step 4: Simplify right side
    384,962.76x = 76,302,637,698.87
  5. Step 5: Solve for x
    x = 76,302,637,698.87/384,962.76
  6. Step 6: Final answer
    x = 198,207.84

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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.