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Finding the Fourth Proportional to 500,048.14, 750,054.43 and 200,448.27

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Solution

The fourth proportional to 500,048.14, 750,054.43 and 200,448.27 is: 300,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,048.14 : 750,054.43 = 200,448.27 : x
  2. Step 2: Convert to fraction form
    500,048.14/750,054.43 = 200,448.27/x
  3. Step 3: Cross multiply
    500,048.14x = 750,054.43 × 200,448.27
  4. Step 4: Simplify right side
    500,048.14x = 150,347,112,899.34
  5. Step 5: Solve for x
    x = 150,347,112,899.34/500,048.14
  6. Step 6: Final answer
    x = 300,665.28

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1.5x scale

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.