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Finding the Fourth Proportional to 470,644.38, 649,503.54 and 289,462.74

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Solution

The fourth proportional to 470,644.38, 649,503.54 and 289,462.74 is: 399,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,644.38 : 649,503.54 = 289,462.74 : x
  2. Step 2: Convert to fraction form
    470,644.38/649,503.54 = 289,462.74/x
  3. Step 3: Cross multiply
    470,644.38x = 649,503.54 × 289,462.74
  4. Step 4: Simplify right side
    470,644.38x = 188,007,074,328.10
  5. Step 5: Solve for x
    x = 188,007,074,328.10/470,644.38
  6. Step 6: Final answer
    x = 399,467.37

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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.