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Finding the Fourth Proportional to 413,514.80, 620,272.20 and 133,060.40

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Solution

The fourth proportional to 413,514.80, 620,272.20 and 133,060.40 is: 199,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,514.80 : 620,272.20 = 133,060.40 : x
  2. Step 2: Convert to fraction form
    413,514.80/620,272.20 = 133,060.40/x
  3. Step 3: Cross multiply
    413,514.80x = 620,272.20 × 133,060.40
  4. Step 4: Simplify right side
    413,514.80x = 82,533,667,040.88
  5. Step 5: Solve for x
    x = 82,533,667,040.88/413,514.80
  6. Step 6: Final answer
    x = 199,590.60

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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.