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Finding the Fourth Proportional to 311,423.96, 429,765.06 and 168,184.04

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Solution

The fourth proportional to 311,423.96, 429,765.06 and 168,184.04 is: 232,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,423.96 : 429,765.06 = 168,184.04 : x
  2. Step 2: Convert to fraction form
    311,423.96/429,765.06 = 168,184.04/x
  3. Step 3: Cross multiply
    311,423.96x = 429,765.06 × 168,184.04
  4. Step 4: Simplify right side
    311,423.96x = 72,279,624,041.64
  5. Step 5: Solve for x
    x = 72,279,624,041.64/311,423.96
  6. Step 6: Final answer
    x = 232,093.97

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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.