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Finding the Fourth Proportional to 311,901.96, 430,424.85 and 168,662.10

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Solution

The fourth proportional to 311,901.96, 430,424.85 and 168,662.10 is: 232,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,901.96 : 430,424.85 = 168,662.10 : x
  2. Step 2: Convert to fraction form
    311,901.96/430,424.85 = 168,662.10/x
  3. Step 3: Cross multiply
    311,901.96x = 430,424.85 × 168,662.10
  4. Step 4: Simplify right side
    311,901.96x = 72,596,359,093.19
  5. Step 5: Solve for x
    x = 72,596,359,093.19/311,901.96
  6. Step 6: Final answer
    x = 232,753.78

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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.