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Finding the Fourth Proportional to 311,999.83, 430,522.74 and 176,025.84

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Solution

The fourth proportional to 311,999.83, 430,522.74 and 176,025.84 is: 242,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,999.83 : 430,522.74 = 176,025.84 : x
  2. Step 2: Convert to fraction form
    311,999.83/430,522.74 = 176,025.84/x
  3. Step 3: Cross multiply
    311,999.83x = 430,522.74 × 176,025.84
  4. Step 4: Simplify right side
    311,999.83x = 75,783,125,333.14
  5. Step 5: Solve for x
    x = 75,783,125,333.14/311,999.83
  6. Step 6: Final answer
    x = 242,894.77

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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.