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Finding the Fourth Proportional to 500,698.08, 690,991.02 and 285,907.14

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Solution

The fourth proportional to 500,698.08, 690,991.02 and 285,907.14 is: 394,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,698.08 : 690,991.02 = 285,907.14 : x
  2. Step 2: Convert to fraction form
    500,698.08/690,991.02 = 285,907.14/x
  3. Step 3: Cross multiply
    500,698.08x = 690,991.02 × 285,907.14
  4. Step 4: Simplify right side
    500,698.08x = 197,559,266,293.88
  5. Step 5: Solve for x
    x = 197,559,266,293.88/500,698.08
  6. Step 6: Final answer
    x = 394,567.65

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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.