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Finding the Fourth Proportional to 470,794.45, 649,086.53 and 304,927.31

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Solution

The fourth proportional to 470,794.45, 649,086.53 and 304,927.31 is: 420,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,794.45 : 649,086.53 = 304,927.31 : x
  2. Step 2: Convert to fraction form
    470,794.45/649,086.53 = 304,927.31/x
  3. Step 3: Cross multiply
    470,794.45x = 649,086.53 × 304,927.31
  4. Step 4: Simplify right side
    470,794.45x = 197,924,208,461.61
  5. Step 5: Solve for x
    x = 197,924,208,461.61/470,794.45
  6. Step 6: Final answer
    x = 420,404.72

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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.