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Finding the Fourth Proportional to 270,560.49, 405,858.56 and 70,885.77

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Solution

The fourth proportional to 270,560.49, 405,858.56 and 70,885.77 is: 106,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,560.49 : 405,858.56 = 70,885.77 : x
  2. Step 2: Convert to fraction form
    270,560.49/405,858.56 = 70,885.77/x
  3. Step 3: Cross multiply
    270,560.49x = 405,858.56 × 70,885.77
  4. Step 4: Simplify right side
    270,560.49x = 28,769,596,182.26
  5. Step 5: Solve for x
    x = 28,769,596,182.26/270,560.49
  6. Step 6: Final answer
    x = 106,333.32

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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.