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Finding the Fourth Proportional to 412,326.40, 618,129.60 and 159,779.20

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Solution

The fourth proportional to 412,326.40, 618,129.60 and 159,779.20 is: 239,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,326.40 : 618,129.60 = 159,779.20 : x
  2. Step 2: Convert to fraction form
    412,326.40/618,129.60 = 159,779.20/x
  3. Step 3: Cross multiply
    412,326.40x = 618,129.60 × 159,779.20
  4. Step 4: Simplify right side
    412,326.40x = 98,764,252,984.32
  5. Step 5: Solve for x
    x = 98,764,252,984.32/412,326.40
  6. Step 6: Final answer
    x = 239,529.30

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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.