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Finding the Fourth Proportional to 413,530.20, 620,441.10 and 398,950.20

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Solution

The fourth proportional to 413,530.20, 620,441.10 and 398,950.20 is: 598,565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,530.20 : 620,441.10 = 398,950.20 : x
  2. Step 2: Convert to fraction form
    413,530.20/620,441.10 = 398,950.20/x
  3. Step 3: Cross multiply
    413,530.20x = 620,441.10 × 398,950.20
  4. Step 4: Simplify right side
    413,530.20x = 247,525,100,933.22
  5. Step 5: Solve for x
    x = 247,525,100,933.22/413,530.20
  6. Step 6: Final answer
    x = 598,565.96

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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.