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Finding the Fourth Proportional to 312,583.76, 431,206.98 and 197,668.76

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Solution

The fourth proportional to 312,583.76, 431,206.98 and 197,668.76 is: 272,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,583.76 : 431,206.98 = 197,668.76 : x
  2. Step 2: Convert to fraction form
    312,583.76/431,206.98 = 197,668.76/x
  3. Step 3: Cross multiply
    312,583.76x = 431,206.98 × 197,668.76
  4. Step 4: Simplify right side
    312,583.76x = 85,236,146,142.65
  5. Step 5: Solve for x
    x = 85,236,146,142.65/312,583.76
  6. Step 6: Final answer
    x = 272,682.58

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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.