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Finding the Fourth Proportional to 462,790.68, 694,828.50 and 238,311.60

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Solution

The fourth proportional to 462,790.68, 694,828.50 and 238,311.60 is: 357,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,790.68 : 694,828.50 = 238,311.60 : x
  2. Step 2: Convert to fraction form
    462,790.68/694,828.50 = 238,311.60/x
  3. Step 3: Cross multiply
    462,790.68x = 694,828.50 × 238,311.60
  4. Step 4: Simplify right side
    462,790.68x = 165,585,691,560.60
  5. Step 5: Solve for x
    x = 165,585,691,560.60/462,790.68
  6. Step 6: Final answer
    x = 357,798.24

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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.