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Finding the Fourth Proportional to 491,444.50, 737,344.14 and 171,643.45

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Solution

The fourth proportional to 491,444.50, 737,344.14 and 171,643.45 is: 257,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,444.50 : 737,344.14 = 171,643.45 : x
  2. Step 2: Convert to fraction form
    491,444.50/737,344.14 = 171,643.45/x
  3. Step 3: Cross multiply
    491,444.50x = 737,344.14 × 171,643.45
  4. Step 4: Simplify right side
    491,444.50x = 126,560,292,026.88
  5. Step 5: Solve for x
    x = 126,560,292,026.88/491,444.50
  6. Step 6: Final answer
    x = 257,527.13

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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.