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Finding the Fourth Proportional to 649,825.34, 974,381.16 and 200,421.50

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Solution

The fourth proportional to 649,825.34, 974,381.16 and 200,421.50 is: 300,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,825.34 : 974,381.16 = 200,421.50 : x
  2. Step 2: Convert to fraction form
    649,825.34/974,381.16 = 200,421.50/x
  3. Step 3: Cross multiply
    649,825.34x = 974,381.16 × 200,421.50
  4. Step 4: Simplify right side
    649,825.34x = 195,286,933,658.94
  5. Step 5: Solve for x
    x = 195,286,933,658.94/649,825.34
  6. Step 6: Final answer
    x = 300,522.19

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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.