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Finding the Fourth Proportional to 462,416.50, 693,624.75 and 129,992.50

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Solution

The fourth proportional to 462,416.50, 693,624.75 and 129,992.50 is: 194,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,416.50 : 693,624.75 = 129,992.50 : x
  2. Step 2: Convert to fraction form
    462,416.50/693,624.75 = 129,992.50/x
  3. Step 3: Cross multiply
    462,416.50x = 693,624.75 × 129,992.50
  4. Step 4: Simplify right side
    462,416.50x = 90,166,015,314.38
  5. Step 5: Solve for x
    x = 90,166,015,314.38/462,416.50
  6. Step 6: Final answer
    x = 194,988.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.