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Finding the Fourth Proportional to 311,967.06, 430,514.64 and 176,029.83

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Solution

The fourth proportional to 311,967.06, 430,514.64 and 176,029.83 is: 242,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,967.06 : 430,514.64 = 176,029.83 : x
  2. Step 2: Convert to fraction form
    311,967.06/430,514.64 = 176,029.83/x
  3. Step 3: Cross multiply
    311,967.06x = 430,514.64 × 176,029.83
  4. Step 4: Simplify right side
    311,967.06x = 75,783,418,891.71
  5. Step 5: Solve for x
    x = 75,783,418,891.71/311,967.06
  6. Step 6: Final answer
    x = 242,921.22

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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.