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Finding the Fourth Proportional to 409,829.60, 614,744.40 and 252,365.60

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Solution

The fourth proportional to 409,829.60, 614,744.40 and 252,365.60 is: 378,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,829.60 : 614,744.40 = 252,365.60 : x
  2. Step 2: Convert to fraction form
    409,829.60/614,744.40 = 252,365.60/x
  3. Step 3: Cross multiply
    409,829.60x = 614,744.40 × 252,365.60
  4. Step 4: Simplify right side
    409,829.60x = 155,140,339,352.64
  5. Step 5: Solve for x
    x = 155,140,339,352.64/409,829.60
  6. Step 6: Final answer
    x = 378,548.40

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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.