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Finding the Fourth Proportional to 471,351.24, 650,474.82 and 270,147.24

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Solution

The fourth proportional to 471,351.24, 650,474.82 and 270,147.24 is: 372,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,351.24 : 650,474.82 = 270,147.24 : x
  2. Step 2: Convert to fraction form
    471,351.24/650,474.82 = 270,147.24/x
  3. Step 3: Cross multiply
    471,351.24x = 650,474.82 × 270,147.24
  4. Step 4: Simplify right side
    471,351.24x = 175,723,977,312.50
  5. Step 5: Solve for x
    x = 175,723,977,312.50/471,351.24
  6. Step 6: Final answer
    x = 372,808.98

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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.