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Finding the Fourth Proportional to 462,994.88, 693,984.29 and 238,367.30

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Solution

The fourth proportional to 462,994.88, 693,984.29 and 238,367.30 is: 357,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,994.88 : 693,984.29 = 238,367.30 : x
  2. Step 2: Convert to fraction form
    462,994.88/693,984.29 = 238,367.30/x
  3. Step 3: Cross multiply
    462,994.88x = 693,984.29 × 238,367.30
  4. Step 4: Simplify right side
    462,994.88x = 165,423,161,449.72
  5. Step 5: Solve for x
    x = 165,423,161,449.72/462,994.88
  6. Step 6: Final answer
    x = 357,289.40

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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.