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Finding the Fourth Proportional to 412,972.60, 619,458.90 and 412,972.60

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Solution

The fourth proportional to 412,972.60, 619,458.90 and 412,972.60 is: 619,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,972.60 : 619,458.90 = 412,972.60 : x
  2. Step 2: Convert to fraction form
    412,972.60/619,458.90 = 412,972.60/x
  3. Step 3: Cross multiply
    412,972.60x = 619,458.90 × 412,972.60
  4. Step 4: Simplify right side
    412,972.60x = 255,819,552,526.14
  5. Step 5: Solve for x
    x = 255,819,552,526.14/412,972.60
  6. Step 6: Final answer
    x = 619,458.90

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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.