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Finding the Fourth Proportional to 471,253.80, 705,714.30 and 302,514.60

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Solution

The fourth proportional to 471,253.80, 705,714.30 and 302,514.60 is: 453,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,253.80 : 705,714.30 = 302,514.60 : x
  2. Step 2: Convert to fraction form
    471,253.80/705,714.30 = 302,514.60/x
  3. Step 3: Cross multiply
    471,253.80x = 705,714.30 × 302,514.60
  4. Step 4: Simplify right side
    471,253.80x = 213,488,879,178.78
  5. Step 5: Solve for x
    x = 213,488,879,178.78/471,253.80
  6. Step 6: Final answer
    x = 453,023.15

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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.