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Finding the Fourth Proportional to 412,829.20, 619,243.80 and 202,877.20

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Solution

The fourth proportional to 412,829.20, 619,243.80 and 202,877.20 is: 304,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,829.20 : 619,243.80 = 202,877.20 : x
  2. Step 2: Convert to fraction form
    412,829.20/619,243.80 = 202,877.20/x
  3. Step 3: Cross multiply
    412,829.20x = 619,243.80 × 202,877.20
  4. Step 4: Simplify right side
    412,829.20x = 125,630,448,261.36
  5. Step 5: Solve for x
    x = 125,630,448,261.36/412,829.20
  6. Step 6: Final answer
    x = 304,315.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.