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Finding the Fourth Proportional to 496,599.40, 685,308.14 and 281,697.94

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Solution

The fourth proportional to 496,599.40, 685,308.14 and 281,697.94 is: 388,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,599.40 : 685,308.14 = 281,697.94 : x
  2. Step 2: Convert to fraction form
    496,599.40/685,308.14 = 281,697.94/x
  3. Step 3: Cross multiply
    496,599.40x = 685,308.14 × 281,697.94
  4. Step 4: Simplify right side
    496,599.40x = 193,049,891,303.23
  5. Step 5: Solve for x
    x = 193,049,891,303.23/496,599.40
  6. Step 6: Final answer
    x = 388,743.71

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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.