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Finding the Fourth Proportional to 412,499.80, 618,807.30 and 175,840.60

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Solution

The fourth proportional to 412,499.80, 618,807.30 and 175,840.60 is: 263,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,499.80 : 618,807.30 = 175,840.60 : x
  2. Step 2: Convert to fraction form
    412,499.80/618,807.30 = 175,840.60/x
  3. Step 3: Cross multiply
    412,499.80x = 618,807.30 × 175,840.60
  4. Step 4: Simplify right side
    412,499.80x = 108,811,446,916.38
  5. Step 5: Solve for x
    x = 108,811,446,916.38/412,499.80
  6. Step 6: Final answer
    x = 263,785.45

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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.