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Finding the Fourth Proportional to 310,331.73, 465,484.95 and 107,974.16

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Solution

The fourth proportional to 310,331.73, 465,484.95 and 107,974.16 is: 161,956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,331.73 : 465,484.95 = 107,974.16 : x
  2. Step 2: Convert to fraction form
    310,331.73/465,484.95 = 107,974.16/x
  3. Step 3: Cross multiply
    310,331.73x = 465,484.95 × 107,974.16
  4. Step 4: Simplify right side
    310,331.73x = 50,260,346,468.89
  5. Step 5: Solve for x
    x = 50,260,346,468.89/310,331.73
  6. Step 6: Final answer
    x = 161,956.84

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1.5x scale

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.