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Finding the Fourth Proportional to 295,529.60, 414,791.20 and 295,529.60

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Solution

The fourth proportional to 295,529.60, 414,791.20 and 295,529.60 is: 414,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,529.60 : 414,791.20 = 295,529.60 : x
  2. Step 2: Convert to fraction form
    295,529.60/414,791.20 = 295,529.60/x
  3. Step 3: Cross multiply
    295,529.60x = 414,791.20 × 295,529.60
  4. Step 4: Simplify right side
    295,529.60x = 122,583,077,419.52
  5. Step 5: Solve for x
    x = 122,583,077,419.52/295,529.60
  6. Step 6: Final answer
    x = 414,791.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.