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Finding the Fourth Proportional to 649,674.24, 974,566 and 239,455

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Solution

The fourth proportional to 649,674.24, 974,566 and 239,455 is: 359,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,674.24 : 974,566 = 239,455 : x
  2. Step 2: Convert to fraction form
    649,674.24/974,566 = 239,455/x
  3. Step 3: Cross multiply
    649,674.24x = 974,566 × 239,455
  4. Step 4: Simplify right side
    649,674.24x = 233,364,701,530
  5. Step 5: Solve for x
    x = 233,364,701,530/649,674.24
  6. Step 6: Final answer
    x = 359,202.64

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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.