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Finding the Fourth Proportional to 312,469.26, 431,234.13 and 176,528.16

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Solution

The fourth proportional to 312,469.26, 431,234.13 and 176,528.16 is: 243,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,469.26 : 431,234.13 = 176,528.16 : x
  2. Step 2: Convert to fraction form
    312,469.26/431,234.13 = 176,528.16/x
  3. Step 3: Cross multiply
    312,469.26x = 431,234.13 × 176,528.16
  4. Step 4: Simplify right side
    312,469.26x = 76,124,967,167.11
  5. Step 5: Solve for x
    x = 76,124,967,167.11/312,469.26
  6. Step 6: Final answer
    x = 243,623.86

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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.