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Finding the Fourth Proportional to 965,761.98, 1,448,656.68 and 291,848.90

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Solution

The fourth proportional to 965,761.98, 1,448,656.68 and 291,848.90 is: 437,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,761.98 : 1,448,656.68 = 291,848.90 : x
  2. Step 2: Convert to fraction form
    965,761.98/1,448,656.68 = 291,848.90/x
  3. Step 3: Cross multiply
    965,761.98x = 1,448,656.68 × 291,848.90
  4. Step 4: Simplify right side
    965,761.98x = 422,788,858,535.65
  5. Step 5: Solve for x
    x = 422,788,858,535.65/965,761.98
  6. Step 6: Final answer
    x = 437,777.49

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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.