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Finding the Fourth Proportional to 500,173.33, 750,400.50 and 200,864.10

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Solution

The fourth proportional to 500,173.33, 750,400.50 and 200,864.10 is: 301,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,173.33 : 750,400.50 = 200,864.10 : x
  2. Step 2: Convert to fraction form
    500,173.33/750,400.50 = 200,864.10/x
  3. Step 3: Cross multiply
    500,173.33x = 750,400.50 × 200,864.10
  4. Step 4: Simplify right side
    500,173.33x = 150,728,524,639.29
  5. Step 5: Solve for x
    x = 150,728,524,639.29/500,173.33
  6. Step 6: Final answer
    x = 301,352.58

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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.