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Finding the Fourth Proportional to 310,906.05, 466,359.09 and 111,322.05

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Solution

The fourth proportional to 310,906.05, 466,359.09 and 111,322.05 is: 166,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,906.05 : 466,359.09 = 111,322.05 : x
  2. Step 2: Convert to fraction form
    310,906.05/466,359.09 = 111,322.05/x
  3. Step 3: Cross multiply
    310,906.05x = 466,359.09 × 111,322.05
  4. Step 4: Simplify right side
    310,906.05x = 51,916,049,934.93
  5. Step 5: Solve for x
    x = 51,916,049,934.93/310,906.05
  6. Step 6: Final answer
    x = 166,983.08

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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.