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Finding the Fourth Proportional to 295,015.20, 407,016 and 174,095.97

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Solution

The fourth proportional to 295,015.20, 407,016 and 174,095.97 is: 240,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,015.20 : 407,016 = 174,095.97 : x
  2. Step 2: Convert to fraction form
    295,015.20/407,016 = 174,095.97/x
  3. Step 3: Cross multiply
    295,015.20x = 407,016 × 174,095.97
  4. Step 4: Simplify right side
    295,015.20x = 70,859,845,325.52
  5. Step 5: Solve for x
    x = 70,859,845,325.52/295,015.20
  6. Step 6: Final answer
    x = 240,190.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.