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Finding the Fourth Proportional to 465,814.14, 698,747.13 and 133,381.50

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Solution

The fourth proportional to 465,814.14, 698,747.13 and 133,381.50 is: 200,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,814.14 : 698,747.13 = 133,381.50 : x
  2. Step 2: Convert to fraction form
    465,814.14/698,747.13 = 133,381.50/x
  3. Step 3: Cross multiply
    465,814.14x = 698,747.13 × 133,381.50
  4. Step 4: Simplify right side
    465,814.14x = 93,199,940,320.10
  5. Step 5: Solve for x
    x = 93,199,940,320.10/465,814.14
  6. Step 6: Final answer
    x = 200,079.67

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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.