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Finding the Fourth Proportional to 649,898.66, 974,609.24 and 223,313.49

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Solution

The fourth proportional to 649,898.66, 974,609.24 and 223,313.49 is: 334,888.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,898.66 : 974,609.24 = 223,313.49 : x
  2. Step 2: Convert to fraction form
    649,898.66/974,609.24 = 223,313.49/x
  3. Step 3: Cross multiply
    649,898.66x = 974,609.24 × 223,313.49
  4. Step 4: Simplify right side
    649,898.66x = 217,643,389,654.08
  5. Step 5: Solve for x
    x = 217,643,389,654.08/649,898.66
  6. Step 6: Final answer
    x = 334,888.19

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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.