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Finding the Fourth Proportional to 310,769.98, 466,157.67 and 100,407.94

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Solution

The fourth proportional to 310,769.98, 466,157.67 and 100,407.94 is: 150,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,769.98 : 466,157.67 = 100,407.94 : x
  2. Step 2: Convert to fraction form
    310,769.98/466,157.67 = 100,407.94/x
  3. Step 3: Cross multiply
    310,769.98x = 466,157.67 × 100,407.94
  4. Step 4: Simplify right side
    310,769.98x = 46,805,931,359.90
  5. Step 5: Solve for x
    x = 46,805,931,359.90/310,769.98
  6. Step 6: Final answer
    x = 150,612.78

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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.