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Finding the Fourth Proportional to 534,544, 737,672.16 and 296,080

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Solution

The fourth proportional to 534,544, 737,672.16 and 296,080 is: 408,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,544 : 737,672.16 = 296,080 : x
  2. Step 2: Convert to fraction form
    534,544/737,672.16 = 296,080/x
  3. Step 3: Cross multiply
    534,544x = 737,672.16 × 296,080
  4. Step 4: Simplify right side
    534,544x = 218,409,973,132.80
  5. Step 5: Solve for x
    x = 218,409,973,132.80/534,544
  6. Step 6: Final answer
    x = 408,591.20

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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.