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Finding the Fourth Proportional to 295,028.80, 442,015.20 and 179,412.80

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Solution

The fourth proportional to 295,028.80, 442,015.20 and 179,412.80 is: 268,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,028.80 : 442,015.20 = 179,412.80 : x
  2. Step 2: Convert to fraction form
    295,028.80/442,015.20 = 179,412.80/x
  3. Step 3: Cross multiply
    295,028.80x = 442,015.20 × 179,412.80
  4. Step 4: Simplify right side
    295,028.80x = 79,303,184,674.56
  5. Step 5: Solve for x
    x = 79,303,184,674.56/295,028.80
  6. Step 6: Final answer
    x = 268,798.11

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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.