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Finding the Fourth Proportional to 496,564.56, 685,274.58 and 281,713.68

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Solution

The fourth proportional to 496,564.56, 685,274.58 and 281,713.68 is: 388,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,564.56 : 685,274.58 = 281,713.68 : x
  2. Step 2: Convert to fraction form
    496,564.56/685,274.58 = 281,713.68/x
  3. Step 3: Cross multiply
    496,564.56x = 685,274.58 × 281,713.68
  4. Step 4: Simplify right side
    496,564.56x = 193,051,223,742.25
  5. Step 5: Solve for x
    x = 193,051,223,742.25/496,564.56
  6. Step 6: Final answer
    x = 388,773.66

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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.