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Finding the Fourth Proportional to 311,809.64, 430,309.87 and 174,000.62

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Solution

The fourth proportional to 311,809.64, 430,309.87 and 174,000.62 is: 240,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,809.64 : 430,309.87 = 174,000.62 : x
  2. Step 2: Convert to fraction form
    311,809.64/430,309.87 = 174,000.62/x
  3. Step 3: Cross multiply
    311,809.64x = 430,309.87 × 174,000.62
  4. Step 4: Simplify right side
    311,809.64x = 74,874,184,812.89
  5. Step 5: Solve for x
    x = 74,874,184,812.89/311,809.64
  6. Step 6: Final answer
    x = 240,127.87

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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.