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Finding the Fourth Proportional to 500,174.84, 750,402.75 and 200,865.60

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Solution

The fourth proportional to 500,174.84, 750,402.75 and 200,865.60 is: 301,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,174.84 : 750,402.75 = 200,865.60 : x
  2. Step 2: Convert to fraction form
    500,174.84/750,402.75 = 200,865.60/x
  3. Step 3: Cross multiply
    500,174.84x = 750,402.75 × 200,865.60
  4. Step 4: Simplify right side
    500,174.84x = 150,730,098,620.40
  5. Step 5: Solve for x
    x = 150,730,098,620.40/500,174.84
  6. Step 6: Final answer
    x = 301,354.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.