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Finding the Fourth Proportional to 554,754.42, 764,431.83 and 382,725

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Solution

The fourth proportional to 554,754.42, 764,431.83 and 382,725 is: 527,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,754.42 : 764,431.83 = 382,725 : x
  2. Step 2: Convert to fraction form
    554,754.42/764,431.83 = 382,725/x
  3. Step 3: Cross multiply
    554,754.42x = 764,431.83 × 382,725
  4. Step 4: Simplify right side
    554,754.42x = 292,567,172,136.75
  5. Step 5: Solve for x
    x = 292,567,172,136.75/554,754.42
  6. Step 6: Final answer
    x = 527,381.42

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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.