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Finding the Fourth Proportional to 310,983.40, 466,532.70 and 100,628.20

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Solution

The fourth proportional to 310,983.40, 466,532.70 and 100,628.20 is: 150,960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,983.40 : 466,532.70 = 100,628.20 : x
  2. Step 2: Convert to fraction form
    310,983.40/466,532.70 = 100,628.20/x
  3. Step 3: Cross multiply
    310,983.40x = 466,532.70 × 100,628.20
  4. Step 4: Simplify right side
    310,983.40x = 46,946,345,842.14
  5. Step 5: Solve for x
    x = 46,946,345,842.14/310,983.40
  6. Step 6: Final answer
    x = 150,960.94

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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.