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Finding the Fourth Proportional to 499,958.14, 689,941.78 and 282,212.65

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Solution

The fourth proportional to 499,958.14, 689,941.78 and 282,212.65 is: 389,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,958.14 : 689,941.78 = 282,212.65 : x
  2. Step 2: Convert to fraction form
    499,958.14/689,941.78 = 282,212.65/x
  3. Step 3: Cross multiply
    499,958.14x = 689,941.78 × 282,212.65
  4. Step 4: Simplify right side
    499,958.14x = 194,710,295,649.13
  5. Step 5: Solve for x
    x = 194,710,295,649.13/499,958.14
  6. Step 6: Final answer
    x = 389,453.20

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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.