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Finding the Fourth Proportional to 295,015.20, 407,016 and 174,095.98

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Solution

The fourth proportional to 295,015.20, 407,016 and 174,095.98 is: 240,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,015.20 : 407,016 = 174,095.98 : x
  2. Step 2: Convert to fraction form
    295,015.20/407,016 = 174,095.98/x
  3. Step 3: Cross multiply
    295,015.20x = 407,016 × 174,095.98
  4. Step 4: Simplify right side
    295,015.20x = 70,859,849,395.68
  5. Step 5: Solve for x
    x = 70,859,849,395.68/295,015.20
  6. Step 6: Final answer
    x = 240,190.50

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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.