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Finding the Fourth Proportional to 442,843.71, 611,173.50 and 249,257.31

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Solution

The fourth proportional to 442,843.71, 611,173.50 and 249,257.31 is: 344,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,843.71 : 611,173.50 = 249,257.31 : x
  2. Step 2: Convert to fraction form
    442,843.71/611,173.50 = 249,257.31/x
  3. Step 3: Cross multiply
    442,843.71x = 611,173.50 × 249,257.31
  4. Step 4: Simplify right side
    442,843.71x = 152,339,462,553.29
  5. Step 5: Solve for x
    x = 152,339,462,553.29/442,843.71
  6. Step 6: Final answer
    x = 344,002.77

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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.