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Finding the Fourth Proportional to 310,650.75, 466,073.93 and 110,966.71

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Solution

The fourth proportional to 310,650.75, 466,073.93 and 110,966.71 is: 166,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,650.75 : 466,073.93 = 110,966.71 : x
  2. Step 2: Convert to fraction form
    310,650.75/466,073.93 = 110,966.71/x
  3. Step 3: Cross multiply
    310,650.75x = 466,073.93 × 110,966.71
  4. Step 4: Simplify right side
    310,650.75x = 51,718,690,628.87
  5. Step 5: Solve for x
    x = 51,718,690,628.87/310,650.75
  6. Step 6: Final answer
    x = 166,485.00

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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.