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Finding the Fourth Proportional to 310,482.20, 465,723.30 and 111,027.80

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Solution

The fourth proportional to 310,482.20, 465,723.30 and 111,027.80 is: 166,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,482.20 : 465,723.30 = 111,027.80 : x
  2. Step 2: Convert to fraction form
    310,482.20/465,723.30 = 111,027.80/x
  3. Step 3: Cross multiply
    310,482.20x = 465,723.30 × 111,027.80
  4. Step 4: Simplify right side
    310,482.20x = 51,708,233,407.74
  5. Step 5: Solve for x
    x = 51,708,233,407.74/310,482.20
  6. Step 6: Final answer
    x = 166,541.70

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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.