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Finding the Fourth Proportional to 384,680.80, 577,021.20 and 171,448.30

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Solution

The fourth proportional to 384,680.80, 577,021.20 and 171,448.30 is: 257,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,680.80 : 577,021.20 = 171,448.30 : x
  2. Step 2: Convert to fraction form
    384,680.80/577,021.20 = 171,448.30/x
  3. Step 3: Cross multiply
    384,680.80x = 577,021.20 × 171,448.30
  4. Step 4: Simplify right side
    384,680.80x = 98,929,303,803.96
  5. Step 5: Solve for x
    x = 98,929,303,803.96/384,680.80
  6. Step 6: Final answer
    x = 257,172.45

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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.