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Finding the Fourth Proportional to 413,756.12, 620,682.78 and 147,554.48

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Solution

The fourth proportional to 413,756.12, 620,682.78 and 147,554.48 is: 221,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,756.12 : 620,682.78 = 147,554.48 : x
  2. Step 2: Convert to fraction form
    413,756.12/620,682.78 = 147,554.48/x
  3. Step 3: Cross multiply
    413,756.12x = 620,682.78 × 147,554.48
  4. Step 4: Simplify right side
    413,756.12x = 91,584,524,847.85
  5. Step 5: Solve for x
    x = 91,584,524,847.85/413,756.12
  6. Step 6: Final answer
    x = 221,349.05

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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.