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Finding the Fourth Proportional to 386,133.86, 532,274.11 and 271,089.77

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Solution

The fourth proportional to 386,133.86, 532,274.11 and 271,089.77 is: 373,689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,133.86 : 532,274.11 = 271,089.77 : x
  2. Step 2: Convert to fraction form
    386,133.86/532,274.11 = 271,089.77/x
  3. Step 3: Cross multiply
    386,133.86x = 532,274.11 × 271,089.77
  4. Step 4: Simplify right side
    386,133.86x = 144,294,062,717.76
  5. Step 5: Solve for x
    x = 144,294,062,717.76/386,133.86
  6. Step 6: Final answer
    x = 373,689.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.