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Finding the Fourth Proportional to 469,848.40, 704,148.60 and 256,067.44

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Solution

The fourth proportional to 469,848.40, 704,148.60 and 256,067.44 is: 383,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,848.40 : 704,148.60 = 256,067.44 : x
  2. Step 2: Convert to fraction form
    469,848.40/704,148.60 = 256,067.44/x
  3. Step 3: Cross multiply
    469,848.40x = 704,148.60 × 256,067.44
  4. Step 4: Simplify right side
    469,848.40x = 180,309,529,381.58
  5. Step 5: Solve for x
    x = 180,309,529,381.58/469,848.40
  6. Step 6: Final answer
    x = 383,761.08

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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.