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Finding the Fourth Proportional to 462,750.93, 694,055.99 and 178,399.98

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Solution

The fourth proportional to 462,750.93, 694,055.99 and 178,399.98 is: 267,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,750.93 : 694,055.99 = 178,399.98 : x
  2. Step 2: Convert to fraction form
    462,750.93/694,055.99 = 178,399.98/x
  3. Step 3: Cross multiply
    462,750.93x = 694,055.99 × 178,399.98
  4. Step 4: Simplify right side
    462,750.93x = 123,819,573,842.88
  5. Step 5: Solve for x
    x = 123,819,573,842.88/462,750.93
  6. Step 6: Final answer
    x = 267,572.83

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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.