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Finding the Fourth Proportional to 276,464.13, 414,762 and 89,475.63

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Solution

The fourth proportional to 276,464.13, 414,762 and 89,475.63 is: 134,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,464.13 : 414,762 = 89,475.63 : x
  2. Step 2: Convert to fraction form
    276,464.13/414,762 = 89,475.63/x
  3. Step 3: Cross multiply
    276,464.13x = 414,762 × 89,475.63
  4. Step 4: Simplify right side
    276,464.13x = 37,111,091,250.06
  5. Step 5: Solve for x
    x = 37,111,091,250.06/276,464.13
  6. Step 6: Final answer
    x = 134,234.74

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1.5x scale

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.