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Finding the Fourth Proportional to 311,993.17, 430,550.51 and 176,025.89

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Solution

The fourth proportional to 311,993.17, 430,550.51 and 176,025.89 is: 242,915.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,993.17 : 430,550.51 = 176,025.89 : x
  2. Step 2: Convert to fraction form
    311,993.17/430,550.51 = 176,025.89/x
  3. Step 3: Cross multiply
    311,993.17x = 430,550.51 × 176,025.89
  4. Step 4: Simplify right side
    311,993.17x = 75,788,036,908.95
  5. Step 5: Solve for x
    x = 75,788,036,908.95/311,993.17
  6. Step 6: Final answer
    x = 242,915.69

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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.