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Finding the Fourth Proportional to 413,524.60, 620,373.30 and 133,070.20

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Solution

The fourth proportional to 413,524.60, 620,373.30 and 133,070.20 is: 199,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,524.60 : 620,373.30 = 133,070.20 : x
  2. Step 2: Convert to fraction form
    413,524.60/620,373.30 = 133,070.20/x
  3. Step 3: Cross multiply
    413,524.60x = 620,373.30 × 133,070.20
  4. Step 4: Simplify right side
    413,524.60x = 82,553,199,105.66
  5. Step 5: Solve for x
    x = 82,553,199,105.66/413,524.60
  6. Step 6: Final answer
    x = 199,633.10

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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.