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Finding the Fourth Proportional to 311,999.09, 430,521.71 and 176,025.09

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Solution

The fourth proportional to 311,999.09, 430,521.71 and 176,025.09 is: 242,893.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,999.09 : 430,521.71 = 176,025.09 : x
  2. Step 2: Convert to fraction form
    311,999.09/430,521.71 = 176,025.09/x
  3. Step 3: Cross multiply
    311,999.09x = 430,521.71 × 176,025.09
  4. Step 4: Simplify right side
    311,999.09x = 75,782,621,869.58
  5. Step 5: Solve for x
    x = 75,782,621,869.58/311,999.09
  6. Step 6: Final answer
    x = 242,893.73

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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.