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Finding the Fourth Proportional to 382,127.79, 573,204.45 and 171,766.34

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Solution

The fourth proportional to 382,127.79, 573,204.45 and 171,766.34 is: 257,655.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,127.79 : 573,204.45 = 171,766.34 : x
  2. Step 2: Convert to fraction form
    382,127.79/573,204.45 = 171,766.34/x
  3. Step 3: Cross multiply
    382,127.79x = 573,204.45 × 171,766.34
  4. Step 4: Simplify right side
    382,127.79x = 98,457,227,582.19
  5. Step 5: Solve for x
    x = 98,457,227,582.19/382,127.79
  6. Step 6: Final answer
    x = 257,655.24

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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.