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Finding the Fourth Proportional to 500,099.40, 690,145.38 and 282,319.56

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Solution

The fourth proportional to 500,099.40, 690,145.38 and 282,319.56 is: 389,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,099.40 : 690,145.38 = 282,319.56 : x
  2. Step 2: Convert to fraction form
    500,099.40/690,145.38 = 282,319.56/x
  3. Step 3: Cross multiply
    500,099.40x = 690,145.38 × 282,319.56
  4. Step 4: Simplify right side
    500,099.40x = 194,841,540,017.63
  5. Step 5: Solve for x
    x = 194,841,540,017.63/500,099.40
  6. Step 6: Final answer
    x = 389,605.63

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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.