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Finding the Fourth Proportional to 335,854.72, 463,460.16 and 201,692.80

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Solution

The fourth proportional to 335,854.72, 463,460.16 and 201,692.80 is: 278,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,854.72 : 463,460.16 = 201,692.80 : x
  2. Step 2: Convert to fraction form
    335,854.72/463,460.16 = 201,692.80/x
  3. Step 3: Cross multiply
    335,854.72x = 463,460.16 × 201,692.80
  4. Step 4: Simplify right side
    335,854.72x = 93,476,577,358.85
  5. Step 5: Solve for x
    x = 93,476,577,358.85/335,854.72
  6. Step 6: Final answer
    x = 278,324.44

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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.