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Finding the Fourth Proportional to 412,977.40, 619,466.10 and 412,977.40

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Solution

The fourth proportional to 412,977.40, 619,466.10 and 412,977.40 is: 619,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,977.40 : 619,466.10 = 412,977.40 : x
  2. Step 2: Convert to fraction form
    412,977.40/619,466.10 = 412,977.40/x
  3. Step 3: Cross multiply
    412,977.40x = 619,466.10 × 412,977.40
  4. Step 4: Simplify right side
    412,977.40x = 255,825,499,366.14
  5. Step 5: Solve for x
    x = 255,825,499,366.14/412,977.40
  6. Step 6: Final answer
    x = 619,466.10

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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.