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Finding the Fourth Proportional to 289,464.60, 399,314.19 and 197,514.92

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Solution

The fourth proportional to 289,464.60, 399,314.19 and 197,514.92 is: 272,470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,464.60 : 399,314.19 = 197,514.92 : x
  2. Step 2: Convert to fraction form
    289,464.60/399,314.19 = 197,514.92/x
  3. Step 3: Cross multiply
    289,464.60x = 399,314.19 × 197,514.92
  4. Step 4: Simplify right side
    289,464.60x = 78,870,510,292.71
  5. Step 5: Solve for x
    x = 78,870,510,292.71/289,464.60
  6. Step 6: Final answer
    x = 272,470.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.