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Finding the Fourth Proportional to 317,514.76, 476,023.26 and 165,344.20

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Solution

The fourth proportional to 317,514.76, 476,023.26 and 165,344.20 is: 247,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,514.76 : 476,023.26 = 165,344.20 : x
  2. Step 2: Convert to fraction form
    317,514.76/476,023.26 = 165,344.20/x
  3. Step 3: Cross multiply
    317,514.76x = 476,023.26 × 165,344.20
  4. Step 4: Simplify right side
    317,514.76x = 78,707,685,106.09
  5. Step 5: Solve for x
    x = 78,707,685,106.09/317,514.76
  6. Step 6: Final answer
    x = 247,886.70

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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.