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Finding the Fourth Proportional to 462,308.94, 693,824.94 and 237,660.30

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Solution

The fourth proportional to 462,308.94, 693,824.94 and 237,660.30 is: 356,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,308.94 : 693,824.94 = 237,660.30 : x
  2. Step 2: Convert to fraction form
    462,308.94/693,824.94 = 237,660.30/x
  3. Step 3: Cross multiply
    462,308.94x = 693,824.94 × 237,660.30
  4. Step 4: Simplify right side
    462,308.94x = 164,894,643,387.88
  5. Step 5: Solve for x
    x = 164,894,643,387.88/462,308.94
  6. Step 6: Final answer
    x = 356,676.30

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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.