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Finding the Fourth Proportional to 649,894.56, 974,563 and 223,473.30

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Solution

The fourth proportional to 649,894.56, 974,563 and 223,473.30 is: 335,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,894.56 : 974,563 = 223,473.30 : x
  2. Step 2: Convert to fraction form
    649,894.56/974,563 = 223,473.30/x
  3. Step 3: Cross multiply
    649,894.56x = 974,563 × 223,473.30
  4. Step 4: Simplify right side
    649,894.56x = 217,788,809,667.90
  5. Step 5: Solve for x
    x = 217,788,809,667.90/649,894.56
  6. Step 6: Final answer
    x = 335,114.07

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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.