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Finding the Fourth Proportional to 361,224.30, 498,503.40 and 200,075.91

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Solution

The fourth proportional to 361,224.30, 498,503.40 and 200,075.91 is: 276,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,224.30 : 498,503.40 = 200,075.91 : x
  2. Step 2: Convert to fraction form
    361,224.30/498,503.40 = 200,075.91/x
  3. Step 3: Cross multiply
    361,224.30x = 498,503.40 × 200,075.91
  4. Step 4: Simplify right side
    361,224.30x = 99,738,521,393.09
  5. Step 5: Solve for x
    x = 99,738,521,393.09/361,224.30
  6. Step 6: Final answer
    x = 276,112.44

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1.5x scale

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.