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Finding the Fourth Proportional to 310,965.64, 466,463.04 and 100,620.04

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Solution

The fourth proportional to 310,965.64, 466,463.04 and 100,620.04 is: 150,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,965.64 : 466,463.04 = 100,620.04 : x
  2. Step 2: Convert to fraction form
    310,965.64/466,463.04 = 100,620.04/x
  3. Step 3: Cross multiply
    310,965.64x = 466,463.04 × 100,620.04
  4. Step 4: Simplify right side
    310,965.64x = 46,935,529,743.32
  5. Step 5: Solve for x
    x = 46,935,529,743.32/310,965.64
  6. Step 6: Final answer
    x = 150,934.78

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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.