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Finding the Fourth Proportional to 276,580.58, 414,970.50 and 96,692.54

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Solution

The fourth proportional to 276,580.58, 414,970.50 and 96,692.54 is: 145,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,580.58 : 414,970.50 = 96,692.54 : x
  2. Step 2: Convert to fraction form
    276,580.58/414,970.50 = 96,692.54/x
  3. Step 3: Cross multiply
    276,580.58x = 414,970.50 × 96,692.54
  4. Step 4: Simplify right side
    276,580.58x = 40,124,551,670.07
  5. Step 5: Solve for x
    x = 40,124,551,670.07/276,580.58
  6. Step 6: Final answer
    x = 145,073.64

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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.