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Finding the Fourth Proportional to 310,493.12, 465,459.08 and 110,766.02

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Solution

The fourth proportional to 310,493.12, 465,459.08 and 110,766.02 is: 166,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,493.12 : 465,459.08 = 110,766.02 : x
  2. Step 2: Convert to fraction form
    310,493.12/465,459.08 = 110,766.02/x
  3. Step 3: Cross multiply
    310,493.12x = 465,459.08 × 110,766.02
  4. Step 4: Simplify right side
    310,493.12x = 51,557,046,883.34
  5. Step 5: Solve for x
    x = 51,557,046,883.34/310,493.12
  6. Step 6: Final answer
    x = 166,048.92

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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.