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Finding the Fourth Proportional to 273,004.20, 409,433.40 and 83,464.20

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Solution

The fourth proportional to 273,004.20, 409,433.40 and 83,464.20 is: 125,174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,004.20 : 409,433.40 = 83,464.20 : x
  2. Step 2: Convert to fraction form
    273,004.20/409,433.40 = 83,464.20/x
  3. Step 3: Cross multiply
    273,004.20x = 409,433.40 × 83,464.20
  4. Step 4: Simplify right side
    273,004.20x = 34,173,031,184.28
  5. Step 5: Solve for x
    x = 34,173,031,184.28/273,004.20
  6. Step 6: Final answer
    x = 125,174.01

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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.