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Finding the Fourth Proportional to 412,972.40, 619,458.60 and 412,972.40

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Solution

The fourth proportional to 412,972.40, 619,458.60 and 412,972.40 is: 619,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,972.40 : 619,458.60 = 412,972.40 : x
  2. Step 2: Convert to fraction form
    412,972.40/619,458.60 = 412,972.40/x
  3. Step 3: Cross multiply
    412,972.40x = 619,458.60 × 412,972.40
  4. Step 4: Simplify right side
    412,972.40x = 255,819,304,742.64
  5. Step 5: Solve for x
    x = 255,819,304,742.64/412,972.40
  6. Step 6: Final answer
    x = 619,458.60

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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.