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Finding the Fourth Proportional to 310,478.70, 465,718.05 and 110,805.60

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Solution

The fourth proportional to 310,478.70, 465,718.05 and 110,805.60 is: 166,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,478.70 : 465,718.05 = 110,805.60 : x
  2. Step 2: Convert to fraction form
    310,478.70/465,718.05 = 110,805.60/x
  3. Step 3: Cross multiply
    310,478.70x = 465,718.05 × 110,805.60
  4. Step 4: Simplify right side
    310,478.70x = 51,604,167,961.08
  5. Step 5: Solve for x
    x = 51,604,167,961.08/310,478.70
  6. Step 6: Final answer
    x = 166,208.40

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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.