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Finding the Fourth Proportional to 462,498.88, 693,327.30 and 178,007.80

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Solution

The fourth proportional to 462,498.88, 693,327.30 and 178,007.80 is: 266,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,498.88 : 693,327.30 = 178,007.80 : x
  2. Step 2: Convert to fraction form
    462,498.88/693,327.30 = 178,007.80/x
  3. Step 3: Cross multiply
    462,498.88x = 693,327.30 × 178,007.80
  4. Step 4: Simplify right side
    462,498.88x = 123,417,667,352.94
  5. Step 5: Solve for x
    x = 123,417,667,352.94/462,498.88
  6. Step 6: Final answer
    x = 266,849.66

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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.