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Finding the Fourth Proportional to 470,984, 649,975.02 and 269,818.88

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Solution

The fourth proportional to 470,984, 649,975.02 and 269,818.88 is: 372,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,984 : 649,975.02 = 269,818.88 : x
  2. Step 2: Convert to fraction form
    470,984/649,975.02 = 269,818.88/x
  3. Step 3: Cross multiply
    470,984x = 649,975.02 × 269,818.88
  4. Step 4: Simplify right side
    470,984x = 175,375,531,924.38
  5. Step 5: Solve for x
    x = 175,375,531,924.38/470,984
  6. Step 6: Final answer
    x = 372,359.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.