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Finding the Fourth Proportional to 306,093.70, 459,140.55 and 164,376.10

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Solution

The fourth proportional to 306,093.70, 459,140.55 and 164,376.10 is: 246,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,093.70 : 459,140.55 = 164,376.10 : x
  2. Step 2: Convert to fraction form
    306,093.70/459,140.55 = 164,376.10/x
  3. Step 3: Cross multiply
    306,093.70x = 459,140.55 × 164,376.10
  4. Step 4: Simplify right side
    306,093.70x = 75,471,732,960.86
  5. Step 5: Solve for x
    x = 75,471,732,960.86/306,093.70
  6. Step 6: Final answer
    x = 246,564.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.